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möglich ist: Ist es ",[569,1082,1084,1098],{"className":1083},[572],[569,1085,1087],{"className":1086},[576],[578,1088,1089],{"xmlns":580},[582,1090,1091,1096],{},[585,1092,1093],{},[822,1094,1095],{},"0",[592,1097,1095],{"encoding":594},[569,1099,1101],{"className":1100,"ariaHidden":599},[598],[569,1102,1104,1107],{"className":1103},[603],[569,1105],{"className":1106,"style":844},[607],[569,1108,1095],{"className":1109},[612],", steht der Richtungsvektor senkrecht auf dem Normalenvektor, die Gerade verläuft also parallel zur Ebene oder in ihr.",[560,1112,1114],{"id":1113},"beispiele","Beispiele",[565,1116,1117,1118,1416,1417,663],{},"Gegeben ist 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4",[569,1189,1191,1295,1351,1407],{"className":1190,"ariaHidden":599},[598],[569,1192,1194,1198,1201,1205,1209,1213,1217,1221,1227,1231,1234,1286,1289,1292],{"className":1193},[603],[569,1195],{"className":1196,"style":1197},[607],"height:0.8333em;vertical-align:-0.15em;",[569,1199,630],{"className":1200,"style":646},[612,613],[569,1202],{"className":1203},[851,1204],"nobreak",[569,1206],{"className":1207,"style":1208},[851],"margin-right:0.1111em;",[569,1210],{"className":1211},[1212],"mpunct",[569,1214],{"className":1215,"style":1216},[851],"margin-right:-0.1667em;",[569,1218],{"className":1219,"style":1220},[851],"margin-right:0.1667em;",[569,1222,1224],{"className":1223},[612],[569,1225,1147],{"className":1226},[856],[569,1228],{"className":1229,"style":1230},[851],"margin-right:0.3333em;",[569,1232,1153],{"className":1233},[612],[569,1235,1237,1240],{"className":1236},[612],[569,1238,1159],{"className":1239},[612,613],[569,1241,1244],{"className":1242},[1243],"msupsub",[569,1245,1248,1277],{"className":1246},[979,1247],"vlist-t2",[569,1249,1251,1272],{"className":1250},[983],[569,1252,1255],{"className":1253,"style":1254},[987],"height:0.3011em;",[569,1256,1258,1262],{"style":1257},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[569,1259],{"className":1260,"style":1261},[994],"height:2.7em;",[569,1263,1269],{"className":1264},[1265,1266,1267,1268],"sizing","reset-size6","size3","mtight",[569,1270,824],{"className":1271},[612,1268],[569,1273,1276],{"className":1274},[1275],"vlist-s","​",[569,1278,1280],{"className":1279},[983],[569,1281,1284],{"className":1282,"style":1283},[987],"height:0.15em;",[569,1285],{},[569,1287],{"className":1288,"style":1030},[851],[569,1290,1164],{"className":1291},[1034],[569,1293],{"className":1294,"style":1030},[851],[569,1296,1298,1302,1342,1345,1348],{"className":1297},[603],[569,1299],{"className":1300,"style":1301},[607],"height:0.7333em;vertical-align:-0.15em;",[569,1303,1305,1308],{"className":1304},[612],[569,1306,1159],{"className":1307},[612,613],[569,1309,1311],{"className":1310},[1243],[569,1312,1314,1334],{"className":1313},[979,1247],[569,1315,1317,1331],{"className":1316},[983],[569,1318,1320],{"className":1319,"style":1254},[987],[569,1321,1322,1325],{"style":1257},[569,1323],{"className":1324,"style":1261},[994],[569,1326,1328],{"className":1327},[1265,1266,1267,1268],[569,1329,1153],{"className":1330},[612,1268],[569,1332,1276],{"className":1333},[1275],[569,1335,1337],{"className":1336},[983],[569,1338,1340],{"className":1339,"style":1283},[987],[569,1341],{},[569,1343],{"className":1344,"style":1030},[851],[569,1346,1173],{"className":1347},[1034],[569,1349],{"className":1350,"style":1030},[851],[569,1352,1354,1358,1398,1401,1404],{"className":1353},[603],[569,1355],{"className":1356,"style":1357},[607],"height:0.5806em;vertical-align:-0.15em;",[569,1359,1361,1364],{"className":1360},[612],[569,1362,1159],{"className":1363},[612,613],[569,1365,1367],{"className":1366},[1243],[569,1368,1370,1390],{"className":1369},[979,1247],[569,1371,1373,1387],{"className":1372},[983],[569,1374,1376],{"className":1375,"style":1254},[987],[569,1377,1378,1381],{"style":1257},[569,1379],{"className":1380,"style":1261},[994],[569,1382,1384],{"className":1383},[1265,1266,1267,1268],[569,1385,1180],{"className":1386},[612,1268],[569,1388,1276],{"className":1389},[1275],[569,1391,1393],{"className":1392},[983],[569,1394,1396],{"className":1395,"style":1283},[987],[569,1397],{},[569,1399],{"className":1400,"style":852},[851],[569,1402,828],{"className":1403},[856],[569,1405],{"className":1406,"style":852},[851],[569,1408,1410,1413],{"className":1409},[603],[569,1411],{"className":1412,"style":844},[607],[569,1414,831],{"className":1415},[612]," mit ",[569,1418,1420,1465],{"className":1419},[572],[569,1421,1423],{"className":1422},[576],[578,1424,1425],{"xmlns":580},[582,1426,1427,1462],{},[585,1428,1429,1435,1437,1441,1443,1446,1449,1451,1453,1455,1457,1459],{},[941,1430,1431,1433],{"accent":599},[588,1432,945],{},[826,1434,948],{},[826,1436,828],{},[826,1438,1440],{"stretchy":1439},"false","(",[822,1442,1153],{},[826,1444,1445],{"separator":599},",",[1142,1447,1448],{}," ",[822,1450,824],{},[826,1452,1445],{"separator":599},[1142,1454,1448],{},[826,1456,1173],{},[822,1458,824],{},[826,1460,1461],{"stretchy":1439},")",[592,1463,1464],{"encoding":594},"\\vec{n} = (2,\\ 1,\\ 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\\vec{x} = (1,\\ 0,\\ 1) + t \\cdot (1,\\ 1,\\ 1)",[569,1653,1655,1771,1819,1837],{"className":1654,"ariaHidden":599},[598],[569,1656,1658,1662,1703,1706,1709,1712,1715,1718,1724,1727,1762,1765,1768],{"className":1657},[603],[569,1659],{"className":1660,"style":1661},[607],"height:0.9084em;vertical-align:-0.1944em;",[569,1663,1665,1668],{"className":1664},[612],[569,1666,590],{"className":1667,"style":614},[612,613],[569,1669,1671],{"className":1670},[1243],[569,1672,1674,1695],{"className":1673},[979,1247],[569,1675,1677,1692],{"className":1676},[983],[569,1678,1680],{"className":1679,"style":1254},[987],[569,1681,1683,1686],{"style":1682},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[569,1684],{"className":1685,"style":1261},[994],[569,1687,1689],{"className":1688},[1265,1266,1267,1268],[569,1690,824],{"className":1691},[612,1268],[569,1693,1276],{"className":1694},[1275],[569,1696,1698],{"className":1697},[983],[569,1699,1701],{"className":1700,"style":1283},[987],[569,1702],{},[569,1704],{"className":1705},[851,1204],[569,1707],{"className":1708,"style":1208},[851],[569,1710],{"className":1711},[1212],[569,1713],{"className":1714,"style":1216},[851],[569,1716],{"className":1717,"style":1220},[851],[569,1719,1721],{"className":1720},[612],[569,1722,1147],{"className":1723},[856],[569,1725],{"className":1726,"style":1230},[851],[569,1728,1730],{"className":1729},[612,975],[569,1731,1733],{"className":1732},[979],[569,1734,1736],{"className":1735},[983],[569,1737,1739,1747],{"className":1738,"style":971},[987],[569,1740,1741,1744],{"style":990},[569,1742],{"className":1743,"style":995},[994],[569,1745,1159],{"className":1746},[612,613],[569,1748,1749,1752],{"style":990},[569,1750],{"className":1751,"style":995},[994],[569,1753,1755],{"className":1754,"style":1072},[1007],[569,1756,1758],{"className":1757,"style":1013},[1012],[1015,1759,1760],{"xmlns":1017,"width":1018,"height":1019,"style":1020,"viewBox":1021,"preserveAspectRatio":1022},[1024,1761],{"d":1026},[569,1763],{"className":1764,"style":852},[851],[569,1766,828],{"className":1767},[856],[569,1769],{"className":1770,"style":852},[851],[569,1772,1774,1777,1780,1783,1786,1789,1792,1795,1798,1801,1804,1807,1810,1813,1816],{"className":1773},[603],[569,1775],{"className":1776,"style":1524},[607],[569,1778,1440],{"className":1779},[1528],[569,1781,824],{"className":1782},[612],[569,1784,1445],{"className":1785},[1212],[569,1787,1448],{"className":1788},[851],[569,1790],{"className":1791,"style":1220},[851],[569,1793,1095],{"className":1794},[612],[569,1796,1445],{"className":1797},[1212],[569,1799,1448],{"className":1800},[851],[569,1802],{"className":1803,"style":1220},[851],[569,1805,824],{"className":1806},[612],[569,1808,1461],{"className":1809},[1562],[569,1811],{"className":1812,"style":1030},[851],[569,1814,1164],{"className":1815},[1034],[569,1817],{"className":1818,"style":1030},[851],[569,1820,1822,1825,1828,1831,1834],{"className":1821},[603],[569,1823],{"className":1824,"style":739},[607],[569,1826,727],{"className":1827},[612,613],[569,1829],{"className":1830,"style":1030},[851],[569,1832,951],{"className":1833},[1034],[569,1835],{"className":1836,"style":1030},[851],[569,1838,1840,1843,1846,1849,1852,1855,1858,1861,1864,1867,1870,1873],{"className":1839},[603],[569,1841],{"className":1842,"style":1524},[607],[569,1844,1440],{"className":1845},[1528],[569,1847,824],{"className":1848},[612],[569,1850,1445],{"className":1851},[1212],[569,1853,1448],{"className":1854},[851],[569,1856],{"className":1857,"style":1220},[851],[569,1859,824],{"className":1860},[612],[569,1862,1445],{"className":1863},[1212],[569,1865,1448],{"className":1866},[851],[569,1868],{"className":1869,"style":1220},[851],[569,1871,824],{"className":1872},[612],[569,1874,1461],{"className":1875},[1562],". Einsetzen:",[569,1878,1881],{"className":1879},[1880],"katex-display",[569,1882,1884,1954],{"className":1883},[572],[569,1885,1887],{"className":1886},[576],[578,1888,1890],{"xmlns":580,"display":1889},"block",[582,1891,1892,1951],{},[585,1893,1894,1896,1898,1900,1902,1904,1906,1908,1910,1912,1914,1916,1918,1920,1922,1924,1926,1928,1930,1932,1934,1936,1939,1942,1944,1946,1948],{},[822,1895,1153],{},[826,1897,1440],{"stretchy":1439},[822,1899,824],{},[826,1901,1164],{},[588,1903,727],{},[826,1905,1461],{"stretchy":1439},[826,1907,1164],{},[588,1909,727],{},[826,1911,1173],{},[826,1913,1440],{"stretchy":1439},[822,1915,824],{},[826,1917,1164],{},[588,1919,727],{},[826,1921,1461],{"stretchy":1439},[826,1923,828],{},[822,1925,824],{},[826,1927,1164],{},[822,1929,1153],{},[588,1931,727],{},[826,1933,828],{},[822,1935,831],{},[1142,1937,1938],{},"  ",[826,1940,1941],{},"⇒",[1142,1943,1938],{},[588,1945,727],{},[826,1947,828],{},[822,1949,1950],{},"1,5",[592,1952,1953],{"encoding":594},"2(1 + t) + t - (1 + t) = 1 + 2t = 4 \\;\\Rightarrow\\; t = 1{,}5",[569,1955,1957,1981,2002,2021,2042,2063,2082,2103,2127,2145],{"className":1956,"ariaHidden":599},[598],[569,1958,1960,1963,1966,1969,1972,1975,1978],{"className":1959},[603],[569,1961],{"className":1962,"style":1524},[607],[569,1964,1153],{"className":1965},[612],[569,1967,1440],{"className":1968},[1528],[569,1970,824],{"className":1971},[612],[569,1973],{"className":1974,"style":1030},[851],[569,1976,1164],{"className":1977},[1034],[569,1979],{"className":1980,"style":1030},[851],[569,1982,1984,1987,1990,1993,1996,1999],{"className":1983},[603],[569,1985],{"className":1986,"style":1524},[607],[569,1988,727],{"className":1989},[612,613],[569,1991,1461],{"className":1992},[1562],[569,1994],{"className":1995,"style":1030},[851],[569,1997,1164],{"className":1998},[1034],[569,2000],{"className":2001,"style":1030},[851],[569,2003,2005,2009,2012,2015,2018],{"className":2004},[603],[569,2006],{"className":2007,"style":2008},[607],"height:0.6984em;vertical-align:-0.0833em;",[569,2010,727],{"className":2011},[612,613],[569,2013],{"className":2014,"style":1030},[851],[569,2016,1173],{"className":2017},[1034],[569,2019],{"className":2020,"style":1030},[851],[569,2022,2024,2027,2030,2033,2036,2039],{"className":2023},[603],[569,2025],{"className":2026,"style":1524},[607],[569,2028,1440],{"className":2029},[1528],[569,2031,824],{"className":2032},[612],[569,2034],{"className":2035,"style":1030},[851],[569,2037,1164],{"className":2038},[1034],[569,2040],{"className":2041,"style":1030},[851],[569,2043,2045,2048,2051,2054,2057,2060],{"className":2044},[603],[569,2046],{"className":2047,"style":1524},[607],[569,2049,727],{"className":2050},[612,613],[569,2052,1461],{"className":2053},[1562],[569,2055],{"className":2056,"style":852},[851],[569,2058,828],{"className":2059},[856],[569,2061],{"className":2062,"style":852},[851],[569,2064,2066,2070,2073,2076,2079],{"className":2065},[603],[569,2067],{"className":2068,"style":2069},[607],"height:0.7278em;vertical-align:-0.0833em;",[569,2071,824],{"className":2072},[612],[569,2074],{"className":2075,"style":1030},[851],[569,2077,1164],{"className":2078},[1034],[569,2080],{"className":2081,"style":1030},[851],[569,2083,2085,2088,2091,2094,2097,2100],{"className":2084},[603],[569,2086],{"className":2087,"style":844},[607],[569,2089,1153],{"className":2090},[612],[569,2092,727],{"className":2093},[612,613],[569,2095],{"className":2096,"style":852},[851],[569,2098,828],{"className":2099},[856],[569,2101],{"className":2102,"style":852},[851],[569,2104,2106,2109,2112,2115,2118,2121,2124],{"className":2105},[603],[569,2107],{"className":2108,"style":844},[607],[569,2110,831],{"className":2111},[612],[569,2113],{"className":2114,"style":852},[851],[569,2116],{"className":2117,"style":852},[851],[569,2119,1941],{"className":2120},[856],[569,2122],{"className":2123,"style":852},[851],[569,2125],{"className":2126,"style":852},[851],[569,2128,2130,2133,2136,2139,2142],{"className":2129},[603],[569,2131],{"className":2132,"style":739},[607],[569,2134,727],{"className":2135},[612,613],[569,2137],{"className":2138,"style":852},[851],[569,2140,828],{"className":2141},[856],[569,2143],{"className":2144,"style":852},[851],[569,2146,2148,2152,2155,2161],{"className":2147},[603],[569,2149],{"className":2150,"style":2151},[607],"height:0.8389em;vertical-align:-0.1944em;",[569,2153,824],{"className":2154},[612],[569,2156,2158],{"className":2157},[612],[569,2159,1445],{"className":2160},[1212],[569,2162,2164],{"className":2163},[612],"5",[565,2166,2167,2168,2286,2287,663],{},"Der Durchstoßpunkt ist ",[569,2169,2171,2202],{"className":2170},[572],[569,2172,2174],{"className":2173},[576],[578,2175,2176],{"xmlns":580},[582,2177,2178,2199],{},[585,2179,2180,2183,2185,2188,2191,2193,2195,2197],{},[588,2181,2182],{},"S",[826,2184,1440],{"stretchy":1439},[822,2186,2187],{},"2,5",[826,2189,2190],{},"∣",[822,2192,1950],{},[826,2194,2190],{},[822,2196,2187],{},[826,2198,1461],{"stretchy":1439},[592,2200,2201],{"encoding":594},"S(2{,}5 \\mid 1{,}5 \\mid 2{,}5)",[569,2203,2205,2238,2265],{"className":2204,"ariaHidden":599},[598],[569,2206,2208,2211,2214,2217,2220,2226,2229,2232,2235],{"className":2207},[603],[569,2209],{"className":2210,"style":1524},[607],[569,2212,2182],{"className":2213,"style":646},[612,613],[569,2215,1440],{"className":2216},[1528],[569,2218,1153],{"className":2219},[612],[569,2221,2223],{"className":2222},[612],[569,2224,1445],{"className":2225},[1212],[569,2227,2164],{"className":2228},[612],[569,2230],{"className":2231,"style":852},[851],[569,2233,2190],{"className":2234},[856],[569,2236],{"className":2237,"style":852},[851],[569,2239,2241,2244,2247,2253,2256,2259,2262],{"className":2240},[603],[569,2242],{"className":2243,"style":1524},[607],[569,2245,824],{"className":2246},[612],[569,2248,2250],{"className":2249},[612],[569,2251,1445],{"className":2252},[1212],[569,2254,2164],{"className":2255},[612],[569,2257],{"className":2258,"style":852},[851],[569,2260,2190],{"className":2261},[856],[569,2263],{"className":2264,"style":852},[851],[569,2266,2268,2271,2274,2280,2283],{"className":2267},[603],[569,2269],{"className":2270,"style":1524},[607],[569,2272,1153],{"className":2273},[612],[569,2275,2277],{"className":2276},[612],[569,2278,1445],{"className":2279},[1212],[569,2281,2164],{"className":2282},[612],[569,2284,1461],{"className":2285},[1562],". Probe: ",[569,2288,2290,2316],{"className":2289},[572],[569,2291,2293],{"className":2292},[576],[578,2294,2295],{"xmlns":580},[582,2296,2297,2313],{},[585,2298,2299,2301,2303,2305,2307,2309,2311],{},[822,2300,2164],{},[826,2302,1164],{},[822,2304,1950],{},[826,2306,1173],{},[822,2308,2187],{},[826,2310,828],{},[822,2312,831],{},[592,2314,2315],{"encoding":594},"5 + 1{,}5 - 2{,}5 = 4",[569,2317,2319,2337,2364,2391],{"className":2318,"ariaHidden":599},[598],[569,2320,2322,2325,2328,2331,2334],{"className":2321},[603],[569,2323],{"className":2324,"style":2069},[607],[569,2326,2164],{"className":2327},[612],[569,2329],{"className":2330,"style":1030},[851],[569,2332,1164],{"className":2333},[1034],[569,2335],{"className":2336,"style":1030},[851],[569,2338,2340,2343,2346,2352,2355,2358,2361],{"className":2339},[603],[569,2341],{"className":2342,"style":2151},[607],[569,2344,824],{"className":2345},[612],[569,2347,2349],{"className":2348},[612],[569,2350,1445],{"className":2351},[1212],[569,2353,2164],{"className":2354},[612],[569,2356],{"className":2357,"style":1030},[851],[569,2359,1173],{"className":2360},[1034],[569,2362],{"className":2363,"style":1030},[851],[569,2365,2367,2370,2373,2379,2382,2385,2388],{"className":2366},[603],[569,2368],{"className":2369,"style":2151},[607],[569,2371,1153],{"className":2372},[612],[569,2374,2376],{"className":2375},[612],[569,2377,1445],{"className":2378},[1212],[569,2380,2164],{"className":2381},[612],[569,2383],{"className":2384,"style":852},[851],[569,2386,828],{"className":2387},[856],[569,2389],{"className":2390,"style":852},[851],[569,2392,2394,2397],{"className":2393},[603],[569,2395],{"className":2396,"style":844},[607],[569,2398,831],{"className":2399},[612],[565,2401,2402,1568,2405,2715,2716,2927,2928,3092,3093,3143],{},[656,2403,2404],{},"Echt parallel:",[569,2406,2408,2490],{"className":2407},[572],[569,2409,2411],{"className":2410},[576],[578,2412,2413],{"xmlns":580},[582,2414,2415,2487],{},[585,2416,2417,2423,2425,2427,2429,2431,2433,2435,2441,2443,2445,2447,2449,2451,2453,2455,2457,2459,2461,2463,2465,2467,2469,2471,2473,2475,2477,2479,2481,2483,2485],{},[1155,2418,2419,2421],{},[588,2420,590],{},[822,2422,1153],{},[851,2424],{},[851,2426],{"width":1136},[826,2428],{"lspace":1139,"rspace":1140},[1142,2430,1144],{},[826,2432,1147],{"lspace":1139,"rspace":1139},[851,2434],{"width":1150},[941,2436,2437,2439],{"accent":599},[588,2438,1159],{},[826,2440,948],{},[826,2442,828],{},[826,2444,1440],{"stretchy":1439},[822,2446,824],{},[826,2448,1445],{"separator":599},[1142,2450,1448],{},[822,2452,1095],{},[826,2454,1445],{"separator":599},[1142,2456,1448],{},[822,2458,824],{},[826,2460,1461],{"stretchy":1439},[826,2462,1164],{},[588,2464,727],{},[826,2466,951],{},[826,2468,1440],{"stretchy":1439},[822,2470,824],{},[826,2472,1445],{"separator":599},[1142,2474,1448],{},[826,2476,1173],{},[822,2478,824],{},[826,2480,1445],{"separator":599},[1142,2482,1448],{},[822,2484,824],{},[826,2486,1461],{"stretchy":1439},[592,2488,2489],{"encoding":594},"g_2\\colon \\vec{x} = (1,\\ 0,\\ 1) + t \\cdot (1,\\ -1,\\ 1)",[569,2491,2493,2607,2655,2673],{"className":2492,"ariaHidden":599},[598],[569,2494,2496,2499,2539,2542,2545,2548,2551,2554,2560,2563,2598,2601,2604],{"className":2495},[603],[569,2497],{"className":2498,"style":1661},[607],[569,2500,2502,2505],{"className":2501},[612],[569,2503,590],{"className":2504,"style":614},[612,613],[569,2506,2508],{"className":2507},[1243],[569,2509,2511,2531],{"className":2510},[979,1247],[569,2512,2514,2528],{"className":2513},[983],[569,2515,2517],{"className":2516,"style":1254},[987],[569,2518,2519,2522],{"style":1682},[569,2520],{"className":2521,"style":1261},[994],[569,2523,2525],{"className":2524},[1265,1266,1267,1268],[569,2526,1153],{"className":2527},[612,1268],[569,2529,1276],{"className":2530},[1275],[569,2532,2534],{"className":2533},[983],[569,2535,2537],{"className":2536,"style":1283},[987],[569,2538],{},[569,2540],{"className":2541},[851,1204],[569,2543],{"className":2544,"style":1208},[851],[569,2546],{"className":2547},[1212],[569,2549],{"className":2550,"style":1216},[851],[569,2552],{"className":2553,"style":1220},[851],[569,2555,2557],{"className":2556},[612],[569,2558,1147],{"className":2559},[856],[569,2561],{"className":2562,"style":1230},[851],[569,2564,2566],{"className":2565},[612,975],[569,2567,2569],{"className":2568},[979],[569,2570,2572],{"className":2571},[983],[569,2573,2575,2583],{"className":2574,"style":971},[987],[569,2576,2577,2580],{"style":990},[569,2578],{"className":2579,"style":995},[994],[569,2581,1159],{"className":2582},[612,613],[569,2584,2585,2588],{"style":990},[569,2586],{"className":2587,"style":995},[994],[569,2589,2591],{"className":2590,"style":1072},[1007],[569,2592,2594],{"className":2593,"style":1013},[1012],[1015,2595,2596],{"xmlns":1017,"width":1018,"height":1019,"style":1020,"viewBox":1021,"preserveAspectRatio":1022},[1024,2597],{"d":1026},[569,2599],{"className":2600,"style":852},[851],[569,2602,828],{"className":2603},[856],[569,2605],{"className":2606,"style":852},[851],[569,2608,2610,2613,2616,2619,2622,2625,2628,2631,2634,2637,2640,2643,2646,2649,2652],{"className":2609},[603],[569,2611],{"className":2612,"style":1524},[607],[569,2614,1440],{"className":2615},[1528],[569,2617,824],{"className":2618},[612],[569,2620,1445],{"className":2621},[1212],[569,2623,1448],{"className":2624},[851],[569,2626],{"className":2627,"style":1220},[851],[569,2629,1095],{"className":2630},[612],[569,2632,1445],{"className":2633},[1212],[569,2635,1448],{"className":2636},[851],[569,2638],{"className":2639,"style":1220},[851],[569,2641,824],{"className":2642},[612],[569,2644,1461],{"className":2645},[1562],[569,2647],{"className":2648,"style":1030},[851],[569,2650,1164],{"className":2651},[1034],[569,2653],{"className":2654,"style":1030},[851],[569,2656,2658,2661,2664,2667,2670],{"className":2657},[603],[569,2659],{"className":2660,"style":739},[607],[569,2662,727],{"className":2663},[612,613],[569,2665],{"className":2666,"style":1030},[851],[569,2668,951],{"className":2669},[1034],[569,2671],{"className":2672,"style":1030},[851],[569,2674,2676,2679,2682,2685,2688,2691,2694,2697,2700,2703,2706,2709,2712],{"className":2675},[603],[569,2677],{"className":2678,"style":1524},[607],[569,2680,1440],{"className":2681},[1528],[569,2683,824],{"className":2684},[612],[569,2686,1445],{"className":2687},[1212],[569,2689,1448],{"className":2690},[851],[569,2692],{"className":2693,"style":1220},[851],[569,2695,1173],{"className":2696},[612],[569,2698,824],{"className":2699},[612],[569,2701,1445],{"className":2702},[1212],[569,2704,1448],{"className":2705},[851],[569,2707],{"className":2708,"style":1220},[851],[569,2710,824],{"className":2711},[612],[569,2713,1461],{"className":2714},[1562],". Es ist ",[569,2717,2719,2761],{"className":2718},[572],[569,2720,2722],{"className":2721},[576],[578,2723,2724],{"xmlns":580},[582,2725,2726,2758],{},[585,2727,2728,2734,2736,2742,2744,2746,2748,2750,2752,2754,2756],{},[941,2729,2730,2732],{"accent":599},[588,2731,945],{},[826,2733,948],{},[826,2735,951],{},[941,2737,2738,2740],{"accent":599},[588,2739,956],{},[826,2741,948],{},[826,2743,828],{},[822,2745,1153],{},[826,2747,1173],{},[822,2749,824],{},[826,2751,1173],{},[822,2753,824],{},[826,2755,828],{},[822,2757,1095],{},[592,2759,2760],{"encoding":594},"\\vec{n} \\cdot \\vec{u} = 2 - 1 - 1 = 0",[569,2762,2764,2814,2864,2882,2900,2918],{"className":2763,"ariaHidden":599},[598],[569,2765,2767,2770,2805,2808,2811],{"className":2766},[603],[569,2768],{"className":2769,"style":971},[607],[569,2771,2773],{"className":2772},[612,975],[569,2774,2776],{"className":2775},[979],[569,2777,2779],{"className":2778},[983],[569,2780,2782,2790],{"className":2781,"style":971},[987],[569,2783,2784,2787],{"style":990},[569,2785],{"className":2786,"style":995},[994],[569,2788,945],{"className":2789},[612,613],[569,2791,2792,2795],{"style":990},[569,2793],{"className":2794,"style":995},[994],[569,2796,2798],{"className":2797,"style":1008},[1007],[569,2799,2801],{"className":2800,"style":1013},[1012],[1015,2802,2803],{"xmlns":1017,"width":1018,"height":1019,"style":1020,"viewBox":1021,"preserveAspectRatio":1022},[1024,2804],{"d":1026},[569,2806],{"className":2807,"style":1030},[851],[569,2809,951],{"className":2810},[1034],[569,2812],{"className":2813,"style":1030},[851],[569,2815,2817,2820,2855,2858,2861],{"className":2816},[603],[569,2818],{"className":2819,"style":971},[607],[569,2821,2823],{"className":2822},[612,975],[569,2824,2826],{"className":2825},[979],[569,2827,2829],{"className":2828},[983],[569,2830,2832,2840],{"className":2831,"style":971},[987],[569,2833,2834,2837],{"style":990},[569,2835],{"className":2836,"style":995},[994],[569,2838,956],{"className":2839},[612,613],[569,2841,2842,2845],{"style":990},[569,2843],{"className":2844,"style":995},[994],[569,2846,2848],{"className":2847,"style":1072},[1007],[569,2849,2851],{"className":2850,"style":1013},[1012],[1015,2852,2853],{"xmlns":1017,"width":1018,"height":1019,"style":1020,"viewBox":1021,"preserveAspectRatio":1022},[1024,2854],{"d":1026},[569,2856],{"className":2857,"style":852},[851],[569,2859,828],{"className":2860},[856],[569,2862],{"className":2863,"style":852},[851],[569,2865,2867,2870,2873,2876,2879],{"className":2866},[603],[569,2868],{"className":2869,"style":2069},[607],[569,2871,1153],{"className":2872},[612],[569,2874],{"className":2875,"style":1030},[851],[569,2877,1173],{"className":2878},[1034],[569,2880],{"className":2881,"style":1030},[851],[569,2883,2885,2888,2891,2894,2897],{"className":2884},[603],[569,2886],{"className":2887,"style":2069},[607],[569,2889,824],{"className":2890},[612],[569,2892],{"className":2893,"style":1030},[851],[569,2895,1173],{"className":2896},[1034],[569,2898],{"className":2899,"style":1030},[851],[569,2901,2903,2906,2909,2912,2915],{"className":2902},[603],[569,2904],{"className":2905,"style":844},[607],[569,2907,824],{"className":2908},[612],[569,2910],{"className":2911,"style":852},[851],[569,2913,828],{"className":2914},[856],[569,2916],{"className":2917,"style":852},[851],[569,2919,2921,2924],{"className":2920},[603],[569,2922],{"className":2923,"style":844},[607],[569,2925,1095],{"className":2926},[612],". Einsetzen ergibt ",[569,2929,2931,2975],{"className":2930},[572],[569,2932,2934],{"className":2933},[576],[578,2935,2936],{"xmlns":580},[582,2937,2938,2972],{},[585,2939,2940,2942,2944,2946,2948,2950,2952,2954,2956,2958,2960,2962,2964,2966,2968,2970],{},[822,2941,1153],{},[826,2943,1440],{"stretchy":1439},[822,2945,824],{},[826,2947,1164],{},[588,2949,727],{},[826,2951,1461],{"stretchy":1439},[826,2953,1173],{},[588,2955,727],{},[826,2957,1173],{},[826,2959,1440],{"stretchy":1439},[822,2961,824],{},[826,2963,1164],{},[588,2965,727],{},[826,2967,1461],{"stretchy":1439},[826,2969,828],{},[822,2971,824],{},[592,2973,2974],{"encoding":594},"2(1 + t) - t - (1 + t) = 1",[569,2976,2978,3002,3023,3041,3062,3083],{"className":2977,"ariaHidden":599},[598],[569,2979,2981,2984,2987,2990,2993,2996,2999],{"className":2980},[603],[569,2982],{"className":2983,"style":1524},[607],[569,2985,1153],{"className":2986},[612],[569,2988,1440],{"className":2989},[1528],[569,2991,824],{"className":2992},[612],[569,2994],{"className":2995,"style":1030},[851],[569,2997,1164],{"className":2998},[1034],[569,3000],{"className":3001,"style":1030},[851],[569,3003,3005,3008,3011,3014,3017,3020],{"className":3004},[603],[569,3006],{"className":3007,"style":1524},[607],[569,3009,727],{"className":3010},[612,613],[569,3012,1461],{"className":3013},[1562],[569,3015],{"className":3016,"style":1030},[851],[569,3018,1173],{"className":3019},[1034],[569,3021],{"className":3022,"style":1030},[851],[569,3024,3026,3029,3032,3035,3038],{"className":3025},[603],[569,3027],{"className":3028,"style":2008},[607],[569,3030,727],{"className":3031},[612,613],[569,3033],{"className":3034,"style":1030},[851],[569,3036,1173],{"className":3037},[1034],[569,3039],{"className":3040,"style":1030},[851],[569,3042,3044,3047,3050,3053,3056,3059],{"className":3043},[603],[569,3045],{"className":3046,"style":1524},[607],[569,3048,1440],{"className":3049},[1528],[569,3051,824],{"className":3052},[612],[569,3054],{"className":3055,"style":1030},[851],[569,3057,1164],{"className":3058},[1034],[569,3060],{"className":3061,"style":1030},[851],[569,3063,3065,3068,3071,3074,3077,3080],{"className":3064},[603],[569,3066],{"className":3067,"style":1524},[607],[569,3069,727],{"className":3070},[612,613],[569,3072,1461],{"className":3073},[1562],[569,3075],{"className":3076,"style":852},[851],[569,3078,828],{"className":3079},[856],[569,3081],{"className":3082,"style":852},[851],[569,3084,3086,3089],{"className":3085},[603],[569,3087],{"className":3088,"style":844},[607],[569,3090,824],{"className":3091},[612],", also ",[569,3094,3096,3113],{"className":3095},[572],[569,3097,3099],{"className":3098},[576],[578,3100,3101],{"xmlns":580},[582,3102,3103,3111],{},[585,3104,3105,3107,3109],{},[822,3106,824],{},[826,3108,828],{},[822,3110,831],{},[592,3112,834],{"encoding":594},[569,3114,3116,3134],{"className":3115,"ariaHidden":599},[598],[569,3117,3119,3122,3125,3128,3131],{"className":3118},[603],[569,3120],{"className":3121,"style":844},[607],[569,3123,824],{"className":3124},[612],[569,3126],{"className":3127,"style":852},[851],[569,3129,828],{"className":3130},[856],[569,3132],{"className":3133,"style":852},[851],[569,3135,3137,3140],{"className":3136},[603],[569,3138],{"className":3139,"style":844},[607],[569,3141,831],{"className":3142},[612],", eine falsche Aussage.",[565,3145,3146,1568,3149,2927,3459,3092,3591,3641,3642,663],{},[656,3147,3148],{},"In der Ebene:",[569,3150,3152,3234],{"className":3151},[572],[569,3153,3155],{"className":3154},[576],[578,3156,3157],{"xmlns":580},[582,3158,3159,3231],{},[585,3160,3161,3167,3169,3171,3173,3175,3177,3179,3185,3187,3189,3191,3193,3195,3197,3199,3201,3203,3205,3207,3209,3211,3213,3215,3217,3219,3221,3223,3225,3227,3229],{},[1155,3162,3163,3165],{},[588,3164,590],{},[822,3166,1180],{},[851,3168],{},[851,3170],{"width":1136},[826,3172],{"lspace":1139,"rspace":1140},[1142,3174,1144],{},[826,3176,1147],{"lspace":1139,"rspace":1139},[851,3178],{"width":1150},[941,3180,3181,3183],{"accent":599},[588,3182,1159],{},[826,3184,948],{},[826,3186,828],{},[826,3188,1440],{"stretchy":1439},[822,3190,1153],{},[826,3192,1445],{"separator":599},[1142,3194,1448],{},[822,3196,1095],{},[826,3198,1445],{"separator":599},[1142,3200,1448],{},[822,3202,1095],{},[826,3204,1461],{"stretchy":1439},[826,3206,1164],{},[588,3208,727],{},[826,3210,951],{},[826,3212,1440],{"stretchy":1439},[822,3214,824],{},[826,3216,1445],{"separator":599},[1142,3218,1448],{},[826,3220,1173],{},[822,3222,824],{},[826,3224,1445],{"separator":599},[1142,3226,1448],{},[822,3228,824],{},[826,3230,1461],{"stretchy":1439},[592,3232,3233],{"encoding":594},"g_3\\colon \\vec{x} = (2,\\ 0,\\ 0) + t \\cdot (1,\\ -1,\\ 1)",[569,3235,3237,3351,3399,3417],{"className":3236,"ariaHidden":599},[598],[569,3238,3240,3243,3283,3286,3289,3292,3295,3298,3304,3307,3342,3345,3348],{"className":3239},[603],[569,3241],{"className":3242,"style":1661},[607],[569,3244,3246,3249],{"className":3245},[612],[569,3247,590],{"className":3248,"style":614},[612,613],[569,3250,3252],{"className":3251},[1243],[569,3253,3255,3275],{"className":3254},[979,1247],[569,3256,3258,3272],{"className":3257},[983],[569,3259,3261],{"className":3260,"style":1254},[987],[569,3262,3263,3266],{"style":1682},[569,3264],{"className":3265,"style":1261},[994],[569,3267,3269],{"className":3268},[1265,1266,1267,1268],[569,3270,1180],{"className":3271},[612,1268],[569,3273,1276],{"className":3274},[1275],[569,3276,3278],{"className":3277},[983],[569,3279,3281],{"className":3280,"style":1283},[987],[569,3282],{},[569,3284],{"className":3285},[851,1204],[569,3287],{"className":3288,"style":1208},[851],[569,3290],{"className":3291},[1212],[569,3293],{"className":3294,"style":1216},[851],[569,3296],{"className":3297,"style":1220},[851],[569,3299,3301],{"className":3300},[612],[569,3302,1147],{"className":3303},[856],[569,3305],{"className":3306,"style":1230},[851],[569,3308,3310],{"className":3309},[612,975],[569,3311,3313],{"className":3312},[979],[569,3314,3316],{"className":3315},[983],[569,3317,3319,3327],{"className":3318,"style":971},[987],[569,3320,3321,3324],{"style":990},[569,3322],{"className":3323,"style":995},[994],[569,3325,1159],{"className":3326},[612,613],[569,3328,3329,3332],{"style":990},[569,3330],{"className":3331,"style":995},[994],[569,3333,3335],{"className":3334,"style":1072},[1007],[569,3336,3338],{"className":3337,"style":1013},[1012],[1015,3339,3340],{"xmlns":1017,"width":1018,"height":1019,"style":1020,"viewBox":1021,"preserveAspectRatio":1022},[1024,3341],{"d":1026},[569,3343],{"className":3344,"style":852},[851],[569,3346,828],{"className":3347},[856],[569,3349],{"className":3350,"style":852},[851],[569,3352,3354,3357,3360,3363,3366,3369,3372,3375,3378,3381,3384,3387,3390,3393,3396],{"className":3353},[603],[569,3355],{"className":3356,"style":1524},[607],[569,3358,1440],{"className":3359},[1528],[569,3361,1153],{"className":3362},[612],[569,3364,1445],{"className":3365},[1212],[569,3367,1448],{"className":3368},[851],[569,3370],{"className":3371,"style":1220},[851],[569,3373,1095],{"className":3374},[612],[569,3376,1445],{"className":3377},[1212],[569,3379,1448],{"className":3380},[851],[569,3382],{"className":3383,"style":1220},[851],[569,3385,1095],{"className":3386},[612],[569,3388,1461],{"className":3389},[1562],[569,3391],{"className":3392,"style":1030},[851],[569,3394,1164],{"className":3395},[1034],[569,3397],{"className":3398,"style":1030},[851],[569,3400,3402,3405,3408,3411,3414],{"className":3401},[603],[569,3403],{"className":3404,"style":739},[607],[569,3406,727],{"className":3407},[612,613],[569,3409],{"className":3410,"style":1030},[851],[569,3412,951],{"className":3413},[1034],[569,3415],{"className":3416,"style":1030},[851],[569,3418,3420,3423,3426,3429,3432,3435,3438,3441,3444,3447,3450,3453,3456],{"className":3419},[603],[569,3421],{"className":3422,"style":1524},[607],[569,3424,1440],{"className":3425},[1528],[569,3427,824],{"className":3428},[612],[569,3430,1445],{"className":3431},[1212],[569,3433,1448],{"className":3434},[851],[569,3436],{"className":3437,"style":1220},[851],[569,3439,1173],{"className":3440},[612],[569,3442,824],{"className":3443},[612],[569,3445,1445],{"className":3446},[1212],[569,3448,1448],{"className":3449},[851],[569,3451],{"className":3452,"style":1220},[851],[569,3454,824],{"className":3455},[612],[569,3457,1461],{"className":3458},[1562],[569,3460,3462,3498],{"className":3461},[572],[569,3463,3465],{"className":3464},[576],[578,3466,3467],{"xmlns":580},[582,3468,3469,3495],{},[585,3470,3471,3473,3475,3477,3479,3481,3483,3485,3487,3489,3491,3493],{},[822,3472,1153],{},[826,3474,1440],{"stretchy":1439},[822,3476,1153],{},[826,3478,1164],{},[588,3480,727],{},[826,3482,1461],{"stretchy":1439},[826,3484,1173],{},[588,3486,727],{},[826,3488,1173],{},[588,3490,727],{},[826,3492,828],{},[822,3494,831],{},[592,3496,3497],{"encoding":594},"2(2 + t) - t - t = 4",[569,3499,3501,3525,3546,3564,3582],{"className":3500,"ariaHidden":599},[598],[569,3502,3504,3507,3510,3513,3516,3519,3522],{"className":3503},[603],[569,3505],{"className":3506,"style":1524},[607],[569,3508,1153],{"className":3509},[612],[569,3511,1440],{"className":3512},[1528],[569,3514,1153],{"className":3515},[612],[569,3517],{"className":3518,"style":1030},[851],[569,3520,1164],{"className":3521},[1034],[569,3523],{"className":3524,"style":1030},[851],[569,3526,3528,3531,3534,3537,3540,3543],{"className":3527},[603],[569,3529],{"className":3530,"style":1524},[607],[569,3532,727],{"className":3533},[612,613],[569,3535,1461],{"className":3536},[1562],[569,3538],{"className":3539,"style":1030},[851],[569,3541,1173],{"className":3542},[1034],[569,3544],{"className":3545,"style":1030},[851],[569,3547,3549,3552,3555,3558,3561],{"className":3548},[603],[569,3550],{"className":3551,"style":2008},[607],[569,3553,727],{"className":3554},[612,613],[569,3556],{"className":3557,"style":1030},[851],[569,3559,1173],{"className":3560},[1034],[569,3562],{"className":3563,"style":1030},[851],[569,3565,3567,3570,3573,3576,3579],{"className":3566},[603],[569,3568],{"className":3569,"style":739},[607],[569,3571,727],{"className":3572},[612,613],[569,3574],{"className":3575,"style":852},[851],[569,3577,828],{"className":3578},[856],[569,3580],{"className":3581,"style":852},[851],[569,3583,3585,3588],{"className":3584},[603],[569,3586],{"className":3587,"style":844},[607],[569,3589,831],{"className":3590},[612],[569,3592,3594,3611],{"className":3593},[572],[569,3595,3597],{"className":3596},[576],[578,3598,3599],{"xmlns":580},[582,3600,3601,3609],{},[585,3602,3603,3605,3607],{},[822,3604,831],{},[826,3606,828],{},[822,3608,831],{},[592,3610,893],{"encoding":594},[569,3612,3614,3632],{"className":3613,"ariaHidden":599},[598],[569,3615,3617,3620,3623,3626,3629],{"className":3616},[603],[569,3618],{"className":3619,"style":844},[607],[569,3621,831],{"className":3622},[612],[569,3624],{"className":3625,"style":852},[851],[569,3627,828],{"className":3628},[856],[569,3630],{"className":3631,"style":852},[851],[569,3633,3635,3638],{"className":3634},[603],[569,3636],{"className":3637,"style":844},[607],[569,3639,831],{"className":3640},[612]," für jedes ",[569,3643,3645,3658],{"className":3644},[572],[569,3646,3648],{"className":3647},[576],[578,3649,3650],{"xmlns":580},[582,3651,3652,3656],{},[585,3653,3654],{},[588,3655,727],{},[592,3657,727],{"encoding":594},[569,3659,3661],{"className":3660,"ariaHidden":599},[598],[569,3662,3664,3667],{"className":3663},[603],[569,3665],{"className":3666,"style":739},[607],[569,3668,727],{"className":3669},[612,613],[560,3671,3673],{"id":3672},"typische-fehler","Typische Fehler",[649,3675,3676,3708,3856],{},[652,3677,3678,3679,3707],{},"Den Parameterwert ",[569,3680,3682,3695],{"className":3681},[572],[569,3683,3685],{"className":3684},[576],[578,3686,3687],{"xmlns":580},[582,3688,3689,3693],{},[585,3690,3691],{},[588,3692,727],{},[592,3694,727],{"encoding":594},[569,3696,3698],{"className":3697,"ariaHidden":599},[598],[569,3699,3701,3704],{"className":3700},[603],[569,3702],{"className":3703,"style":739},[607],[569,3705,727],{"className":3706},[612,613]," als Schnittpunkt angeben, statt ihn in die Geradengleichung einzusetzen.",[652,3709,3710,3855],{},[569,3711,3713,3743],{"className":3712},[572],[569,3714,3716],{"className":3715},[576],[578,3717,3718],{"xmlns":580},[582,3719,3720,3740],{},[585,3721,3722,3728,3730,3736,3738],{},[941,3723,3724,3726],{"accent":599},[588,3725,945],{},[826,3727,948],{},[826,3729,951],{},[941,3731,3732,3734],{"accent":599},[588,3733,956],{},[826,3735,948],{},[826,3737,828],{},[822,3739,1095],{},[592,3741,3742],{"encoding":594},"\\vec{n} \\cdot \\vec{u} = 0",[569,3744,3746,3796,3846],{"className":3745,"ariaHidden":599},[598],[569,3747,3749,3752,3787,3790,3793],{"className":3748},[603],[569,3750],{"className":3751,"style":971},[607],[569,3753,3755],{"className":3754},[612,975],[569,3756,3758],{"className":3757},[979],[569,3759,3761],{"className":3760},[983],[569,3762,3764,3772],{"className":3763,"style":971},[987],[569,3765,3766,3769],{"style":990},[569,3767],{"className":3768,"style":995},[994],[569,3770,945],{"className":3771},[612,613],[569,3773,3774,3777],{"style":990},[569,3775],{"className":3776,"style":995},[994],[569,3778,3780],{"className":3779,"style":1008},[1007],[569,3781,3783],{"className":3782,"style":1013},[1012],[1015,3784,3785],{"xmlns":1017,"width":1018,"height":1019,"style":1020,"viewBox":1021,"preserveAspectRatio":1022},[1024,3786],{"d":1026},[569,3788],{"className":3789,"style":1030},[851],[569,3791,951],{"className":3792},[1034],[569,3794],{"className":3795,"style":1030},[851],[569,3797,3799,3802,3837,3840,3843],{"className":3798},[603],[569,3800],{"className":3801,"style":971},[607],[569,3803,3805],{"className":3804},[612,975],[569,3806,3808],{"className":3807},[979],[569,3809,3811],{"className":3810},[983],[569,3812,3814,3822],{"className":3813,"style":971},[987],[569,3815,3816,3819],{"style":990},[569,3817],{"className":3818,"style":995},[994],[569,3820,956],{"className":3821},[612,613],[569,3823,3824,3827],{"style":990},[569,3825],{"className":3826,"style":995},[994],[569,3828,3830],{"className":3829,"style":1072},[1007],[569,3831,3833],{"className":3832,"style":1013},[1012],[1015,3834,3835],{"xmlns":1017,"width":1018,"height":1019,"style":1020,"viewBox":1021,"preserveAspectRatio":1022},[1024,3836],{"d":1026},[569,3838],{"className":3839,"style":852},[851],[569,3841,828],{"className":3842},[856],[569,3844],{"className":3845,"style":852},[851],[569,3847,3849,3852],{"className":3848},[603],[569,3850],{"className":3851,"style":844},[607],[569,3853,1095],{"className":3854},[612]," als „senkrecht zur Ebene\" deuten. Es bedeutet das Gegenteil: Die Gerade verläuft parallel zur Ebene oder in ihr.",[652,3857,3858,3859,3932,3933,663],{},"Beim Einsetzen die Klammern vergessen, z.B. ",[569,3860,3862,3884],{"className":3861},[572],[569,3863,3865],{"className":3864},[576],[578,3866,3867],{"xmlns":580},[582,3868,3869,3881],{},[585,3870,3871,3873,3875,3877,3879],{},[822,3872,1153],{},[826,3874,951],{},[822,3876,824],{},[826,3878,1164],{},[588,3880,727],{},[592,3882,3883],{"encoding":594},"2 \\cdot 1 + t",[569,3885,3887,3905,3923],{"className":3886,"ariaHidden":599},[598],[569,3888,3890,3893,3896,3899,3902],{"className":3889},[603],[569,3891],{"className":3892,"style":844},[607],[569,3894,1153],{"className":3895},[612],[569,3897],{"className":3898,"style":1030},[851],[569,3900,951],{"className":3901},[1034],[569,3903],{"className":3904,"style":1030},[851],[569,3906,3908,3911,3914,3917,3920],{"className":3907},[603],[569,3909],{"className":3910,"style":2069},[607],[569,3912,824],{"className":3913},[612],[569,3915],{"className":3916,"style":1030},[851],[569,3918,1164],{"className":3919},[1034],[569,3921],{"className":3922,"style":1030},[851],[569,3924,3926,3929],{"className":3925},[603],[569,3927],{"className":3928,"style":739},[607],[569,3930,727],{"className":3931},[612,613]," statt ",[569,3934,3936,3960],{"className":3935},[572],[569,3937,3939],{"className":3938},[576],[578,3940,3941],{"xmlns":580},[582,3942,3943,3957],{},[585,3944,3945,3947,3949,3951,3953,3955],{},[822,3946,1153],{},[826,3948,1440],{"stretchy":1439},[822,3950,824],{},[826,3952,1164],{},[588,3954,727],{},[826,3956,1461],{"stretchy":1439},[592,3958,3959],{"encoding":594},"2(1 + t)",[569,3961,3963,3987],{"className":3962,"ariaHidden":599},[598],[569,3964,3966,3969,3972,3975,3978,3981,3984],{"className":3965},[603],[569,3967],{"className":3968,"style":1524},[607],[569,3970,1153],{"className":3971},[612],[569,3973,1440],{"className":3974},[1528],[569,3976,824],{"className":3977},[612],[569,3979],{"className":3980,"style":1030},[851],[569,3982,1164],{"className":3983},[1034],[569,3985],{"className":3986,"style":1030},[851],[569,3988,3990,3993,3996],{"className":3989},[603],[569,3991],{"className":3992,"style":1524},[607],[569,3994,727],{"className":3995},[612,613],[569,3997,1461],{"className":3998},[1562],{"title":4000,"searchDepth":4001,"depth":4001,"links":4002},"",2,[4003,4004,4005],{"id":562,"depth":4001,"text":563},{"id":1113,"depth":4001,"text":1114},{"id":3672,"depth":4001,"text":3673},[4007,4010,4013,4015,4017,4019,4021],{"lhs":4008,"rhs":4009},"2*(1 + t) + (0 + t) - (1 + t)","1 + 2*t",{"lhs":4009,"rhs":831,"where":4011},{"t":4012},1.5,{"lhs":4014,"rhs":1153},"dot([2, 1, -1], [1, 1, 1])",{"lhs":4016,"rhs":831},"2*2.5 + 1.5 - 2.5",{"lhs":4018,"rhs":1095},"dot([2, 1, -1], [1, -1, 1])",{"lhs":4020,"rhs":824},"2*(1 + t) + (0 - t) - (1 + t)",{"lhs":4022,"rhs":831},"2*(2 + t) + (0 - t) - (0 + t)","g\\colon \\vec{x} = \\vec{p} + t \\cdot \\vec{u},\\ E\\colon \\vec{n} \\cdot \\vec{x} = d,\\ \\vec{u}, \\vec{n} \\neq \\vec{0}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>g\u003C\u002Fmi>\u003Cmspace>\u003C\u002Fmspace>\u003Cmspace width=\"0.1111em\"\u002F>\u003Cmo lspace=\"0em\" rspace=\"0.17em\">\u003C\u002Fmo>\u003Cmtext> ⁣\u003C\u002Fmtext>\u003Cmo lspace=\"0em\" rspace=\"0em\">:\u003C\u002Fmo>\u003Cmspace width=\"0.3333em\"\u002F>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>p\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>t\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>u\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">g\\colon \\vec{x} = \\vec{p} + t \\cdot \\vec{u},\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9084em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">g\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1111em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:-0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">:\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.3333em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.714em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.2077em;\">\u003Cspan class=\"katex-overlay\" style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" 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397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1944em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6151em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">t\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9084em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.714em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">u\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.2077em;\">\u003Cspan class=\"katex-overlay\" style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>E\u003C\u002Fmi>\u003Cmspace>\u003C\u002Fmspace>\u003Cmspace width=\"0.1111em\"\u002F>\u003Cmo lspace=\"0em\" rspace=\"0.17em\">\u003C\u002Fmo>\u003Cmtext> ⁣\u003C\u002Fmtext>\u003Cmo lspace=\"0em\" rspace=\"0em\">:\u003C\u002Fmo>\u003Cmspace width=\"0.3333em\"\u002F>\u003Cmover accent=\"true\">\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>d\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">E\\colon \\vec{n} \\cdot \\vec{x} = d,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.714em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1111em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:-0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">:\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.3333em;\">\u003C\u002Fspan>\u003Cspan class=\"mord 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separator=\"true\">,\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmn>0\u003C\u002Fmn>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\vec{u}, \\vec{n} \\neq \\vec{0}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9084em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.714em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">u\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.2077em;\">\u003Cspan class=\"katex-overlay\" style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 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style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9274em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9274em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.2134em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.2355em;\">\u003Cspan class=\"katex-overlay\" style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","line-plane-position","\\vec{n} \\cdot \\vec{u} \\neq 0 \\;\\Rightarrow\\; \\text{genau ein Schnittpunkt}, \\qquad \\vec{n} \\cdot \\vec{u} = 0 \\;\\Rightarrow\\; g \\parallel E \\text{ oder } g \\subset E","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>u\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>⇒\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmtext>genau ein Schnittpunkt\u003C\u002Fmtext>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"2em\"\u002F>\u003Cmover accent=\"true\">\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>u\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>⇒\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmi>g\u003C\u002Fmi>\u003Cmo>∥\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003Cmtext> oder \u003C\u002Fmtext>\u003Cmi>g\u003C\u002Fmi>\u003Cmo>⊂\u003C\u002Fmo>\u003Cmi>E\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\vec{n} \\cdot \\vec{u} \\neq 0 \\;\\Rightarrow\\; \\text{genau ein Schnittpunkt}, \\qquad \\vec{n} 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