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",[567,1110,1112,1129],{"className":1111},[570],[567,1113,1115],{"className":1114},[574],[576,1116,1117],{"xmlns":578},[580,1118,1119,1127],{},[583,1120,1121],{},[744,1122,1123,1125],{"accent":605},[747,1124,749],{},[593,1126,752],{},[597,1128,755],{"encoding":599},[567,1130,1132],{"className":1131,"ariaHidden":605},[604],[567,1133,1135,1138],{"className":1134},[609],[567,1136],{"className":1137,"style":765},[613],[567,1139,1141],{"className":1140},[618,769],[567,1142,1144],{"className":1143},[629],[567,1145,1147],{"className":1146},[633],[567,1148,1150,1158],{"className":1149,"style":765},[637],[567,1151,1152,1155],{"style":781},[567,1153],{"className":1154,"style":785},[644],[567,1156,749],{"className":1157},[618,789],[567,1159,1160,1163],{"style":781},[567,1161],{"className":1162,"style":785},[644],[567,1164,1166],{"className":1165,"style":799},[798],[567,1167,1169],{"className":1168,"style":804},[803],[806,1170,1171],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,1172],{"d":817},[567,1174,1176,1193],{"className":1175},[570],[567,1177,1179],{"className":1178},[574],[576,1180,1181],{"xmlns":578},[580,1182,1183,1191],{},[583,1184,1185],{},[744,1186,1187,1189],{"accent":605},[747,1188,834],{},[593,1190,752],{},[597,1192,839],{"encoding":599},[567,1194,1196],{"className":1195,"ariaHidden":605},[604],[567,1197,1199,1202],{"className":1198},[609],[567,1200],{"className":1201,"style":765},[613],[567,1203,1205],{"className":1204},[618,769],[567,1206,1208],{"className":1207},[629],[567,1209,1211],{"className":1210},[633],[567,1212,1214,1222],{"className":1213,"style":765},[637],[567,1215,1216,1219],{"style":781},[567,1217],{"className":1218,"style":785},[644],[567,1220,834],{"className":1221},[618,789],[567,1223,1224,1227],{"style":781},[567,1225],{"className":1226,"style":785},[644],[567,1228,1230],{"className":1229,"style":877},[798],[567,1231,1233],{"className":1232,"style":804},[803],[806,1234,1235],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,1236],{"d":817}," zeigen.",[563,1239,1240],{},"Sonderfälle:",[1242,1243,1244,1477],"ul",{},[1245,1246,1247,1394,1395,722],"li",{},[567,1248,1250,1281],{"className":1249},[570],[567,1251,1253],{"className":1252},[574],[576,1254,1255],{"xmlns":578},[580,1256,1257,1278],{},[583,1258,1259,1265,1268,1274,1276],{},[744,1260,1261,1263],{"accent":605},[747,1262,749],{},[593,1264,752],{},[593,1266,1267],{},"⋅",[744,1269,1270,1272],{"accent":605},[747,1271,834],{},[593,1273,752],{},[593,1275,987],{},[589,1277,591],{},[597,1279,1280],{"encoding":599},"\\vec{u} \\cdot \\vec{n} = 0",[567,1282,1284,1334,1384],{"className":1283,"ariaHidden":605},[604],[567,1285,1287,1290,1325,1328,1331],{"className":1286},[609],[567,1288],{"className":1289,"style":765},[613],[567,1291,1293],{"className":1292},[618,769],[567,1294,1296],{"className":1295},[629],[567,1297,1299],{"className":1298},[633],[567,1300,1302,1310],{"className":1301,"style":765},[637],[567,1303,1304,1307],{"style":781},[567,1305],{"className":1306,"style":785},[644],[567,1308,749],{"className":1309},[618,789],[567,1311,1312,1315],{"style":781},[567,1313],{"className":1314,"style":785},[644],[567,1316,1318],{"className":1317,"style":799},[798],[567,1319,1321],{"className":1320,"style":804},[803],[806,1322,1323],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,1324],{"d":817},[567,1326],{"className":1327,"style":1052},[1051],[567,1329,1267],{"className":1330},[656],[567,1332],{"className":1333,"style":1052},[1051],[567,1335,1337,1340,1375,1378,1381],{"className":1336},[609],[567,1338],{"className":1339,"style":765},[613],[567,1341,1343],{"className":1342},[618,769],[567,1344,1346],{"className":1345},[629],[567,1347,1349],{"className":1348},[633],[567,1350,1352,1360],{"className":1351,"style":765},[637],[567,1353,1354,1357],{"style":781},[567,1355],{"className":1356,"style":785},[644],[567,1358,834],{"className":1359},[618,789],[567,1361,1362,1365],{"style":781},[567,1363],{"className":1364,"style":785},[644],[567,1366,1368],{"className":1367,"style":877},[798],[567,1369,1371],{"className":1370,"style":804},[803],[806,1372,1373],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,1374],{"d":817},[567,1376],{"className":1377,"style":1076},[1051],[567,1379,987],{"className":1380},[1080],[567,1382],{"className":1383,"style":1076},[1051],[567,1385,1387,1391],{"className":1386},[609],[567,1388],{"className":1389,"style":1390},[613],"height:0.6444em;",[567,1392,591],{"className":1393},[618],": Die Gerade ist parallel zur Ebene oder liegt in ihr, ",[567,1396,1398,1420],{"className":1397},[570],[567,1399,1401],{"className":1400},[574],[576,1402,1403],{"xmlns":578},[580,1404,1405,1417],{},[583,1406,1407,1409,1411],{},[747,1408,981],{},[593,1410,987],{},[586,1412,1413,1415],{},[589,1414,591],{},[593,1416,595],{},[597,1418,1419],{"encoding":599},"\\alpha = 0^\\circ",[567,1421,1423,1442],{"className":1422,"ariaHidden":605},[604],[567,1424,1426,1430,1433,1436,1439],{"className":1425},[609],[567,1427],{"className":1428,"style":1429},[613],"height:0.4306em;",[567,1431,981],{"className":1432,"style":1068},[618,789],[567,1434],{"className":1435,"style":1076},[1051],[567,1437,987],{"className":1438},[1080],[567,1440],{"className":1441,"style":1076},[1051],[567,1443,1445,1448],{"className":1444},[609],[567,1446],{"className":1447,"style":614},[613],[567,1449,1451,1454],{"className":1450},[618],[567,1452,591],{"className":1453},[618],[567,1455,1457],{"className":1456},[625],[567,1458,1460],{"className":1459},[629],[567,1461,1463],{"className":1462},[633],[567,1464,1466],{"className":1465,"style":614},[637],[567,1467,1468,1471],{"style":640},[567,1469],{"className":1470,"style":645},[644],[567,1472,1474],{"className":1473},[649,650,651,652],[567,1475,595],{"className":1476},[656,652],[1245,1478,1479,1543,1544,1608,1609,722],{},[567,1480,1482,1499],{"className":1481},[570],[567,1483,1485],{"className":1484},[574],[576,1486,1487],{"xmlns":578},[580,1488,1489,1497],{},[583,1490,1491],{},[744,1492,1493,1495],{"accent":605},[747,1494,749],{},[593,1496,752],{},[597,1498,755],{"encoding":599},[567,1500,1502],{"className":1501,"ariaHidden":605},[604],[567,1503,1505,1508],{"className":1504},[609],[567,1506],{"className":1507,"style":765},[613],[567,1509,1511],{"className":1510},[618,769],[567,1512,1514],{"className":1513},[629],[567,1515,1517],{"className":1516},[633],[567,1518,1520,1528],{"className":1519,"style":765},[637],[567,1521,1522,1525],{"style":781},[567,1523],{"className":1524,"style":785},[644],[567,1526,749],{"className":1527},[618,789],[567,1529,1530,1533],{"style":781},[567,1531],{"className":1532,"style":785},[644],[567,1534,1536],{"className":1535,"style":799},[798],[567,1537,1539],{"className":1538,"style":804},[803],[806,1540,1541],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,1542],{"d":817}," ist ein Vielfaches von ",[567,1545,1547,1564],{"className":1546},[570],[567,1548,1550],{"className":1549},[574],[576,1551,1552],{"xmlns":578},[580,1553,1554,1562],{},[583,1555,1556],{},[744,1557,1558,1560],{"accent":605},[747,1559,834],{},[593,1561,752],{},[597,1563,839],{"encoding":599},[567,1565,1567],{"className":1566,"ariaHidden":605},[604],[567,1568,1570,1573],{"className":1569},[609],[567,1571],{"className":1572,"style":765},[613],[567,1574,1576],{"className":1575},[618,769],[567,1577,1579],{"className":1578},[629],[567,1580,1582],{"className":1581},[633],[567,1583,1585,1593],{"className":1584,"style":765},[637],[567,1586,1587,1590],{"style":781},[567,1588],{"className":1589,"style":785},[644],[567,1591,834],{"className":1592},[618,789],[567,1594,1595,1598],{"style":781},[567,1596],{"className":1597,"style":785},[644],[567,1599,1601],{"className":1600,"style":877},[798],[567,1602,1604],{"className":1603,"style":804},[803],[806,1605,1606],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,1607],{"d":817},": Die Gerade steht senkrecht auf der Ebene, ",[567,1610,1612,1634],{"className":1611},[570],[567,1613,1615],{"className":1614},[574],[576,1616,1617],{"xmlns":578},[580,1618,1619,1631],{},[583,1620,1621,1623,1625],{},[747,1622,981],{},[593,1624,987],{},[586,1626,1627,1629],{},[589,1628,674],{},[593,1630,595],{},[597,1632,1633],{"encoding":599},"\\alpha = 90^\\circ",[567,1635,1637,1655],{"className":1636,"ariaHidden":605},[604],[567,1638,1640,1643,1646,1649,1652],{"className":1639},[609],[567,1641],{"className":1642,"style":1429},[613],[567,1644,981],{"className":1645,"style":1068},[618,789],[567,1647],{"className":1648,"style":1076},[1051],[567,1650,987],{"className":1651},[1080],[567,1653],{"className":1654,"style":1076},[1051],[567,1656,1658,1661,1664],{"className":1657},[609],[567,1659],{"className":1660,"style":614},[613],[567,1662,692],{"className":1663},[618],[567,1665,1667,1670],{"className":1666},[618],[567,1668,591],{"className":1669},[618],[567,1671,1673],{"className":1672},[625],[567,1674,1676],{"className":1675},[629],[567,1677,1679],{"className":1678},[633],[567,1680,1682],{"className":1681,"style":614},[637],[567,1683,1684,1687],{"style":640},[567,1685],{"className":1686,"style":645},[644],[567,1688,1690],{"className":1689},[649,650,651,652],[567,1691,595],{"className":1692},[656,652],[558,1694,1696],{"id":1695},"beispiele","Beispiele",[563,1698,1699,1700,1838,1839,1941,1942,2075],{},"Gerade mit ",[567,1701,1703,1745],{"className":1702},[570],[567,1704,1706],{"className":1705},[574],[576,1707,1708],{"xmlns":578},[580,1709,1710,1742],{},[583,1711,1712,1718,1720,1722,1725,1728,1732,1734,1736,1738,1740],{},[744,1713,1714,1716],{"accent":605},[747,1715,749],{},[593,1717,752],{},[593,1719,987],{},[593,1721,969],{"stretchy":968},[589,1723,1724],{},"1",[593,1726,1727],{"separator":605},",",[1729,1730,1731],"mtext",{}," ",[589,1733,591],{},[593,1735,1727],{"separator":605},[1729,1737,1731],{},[589,1739,1724],{},[593,1741,984],{"stretchy":968},[597,1743,1744],{"encoding":599},"\\vec{u} = (1,\\ 0,\\ 1)",[567,1746,1748,1798],{"className":1747,"ariaHidden":605},[604],[567,1749,1751,1754,1789,1792,1795],{"className":1750},[609],[567,1752],{"className":1753,"style":765},[613],[567,1755,1757],{"className":1756},[618,769],[567,1758,1760],{"className":1759},[629],[567,1761,1763],{"className":1762},[633],[567,1764,1766,1774],{"className":1765,"style":765},[637],[567,1767,1768,1771],{"style":781},[567,1769],{"className":1770,"style":785},[644],[567,1772,749],{"className":1773},[618,789],[567,1775,1776,1779],{"style":781},[567,1777],{"className":1778,"style":785},[644],[567,1780,1782],{"className":1781,"style":799},[798],[567,1783,1785],{"className":1784,"style":804},[803],[806,1786,1787],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,1788],{"d":817},[567,1790],{"className":1791,"style":1076},[1051],[567,1793,987],{"className":1794},[1080],[567,1796],{"className":1797,"style":1076},[1051],[567,1799,1801,1804,1807,1810,1814,1817,1820,1823,1826,1829,1832,1835],{"className":1800},[609],[567,1802],{"className":1803,"style":1007},[613],[567,1805,969],{"className":1806},[1015],[567,1808,1724],{"className":1809},[618],[567,1811,1727],{"className":1812},[1813],"mpunct",[567,1815,1731],{"className":1816},[1051],[567,1818],{"className":1819,"style":1097},[1051],[567,1821,591],{"className":1822},[618],[567,1824,1727],{"className":1825},[1813],[567,1827,1731],{"className":1828},[1051],[567,1830],{"className":1831,"style":1097},[1051],[567,1833,1724],{"className":1834},[618],[567,1836,984],{"className":1837},[1072],", Ebene ",[567,1840,1842,1867],{"className":1841},[570],[567,1843,1845],{"className":1844},[574],[576,1846,1847],{"xmlns":578},[580,1848,1849,1864],{},[583,1850,1851,1860,1862],{},[1852,1853,1854,1857],"msub",{},[747,1855,1856],{},"x",[589,1858,1859],{},"3",[593,1861,987],{},[589,1863,591],{},[597,1865,1866],{"encoding":599},"x_3 = 0",[567,1868,1870,1932],{"className":1869,"ariaHidden":605},[604],[567,1871,1873,1877,1923,1926,1929],{"className":1872},[609],[567,1874],{"className":1875,"style":1876},[613],"height:0.5806em;vertical-align:-0.15em;",[567,1878,1880,1883],{"className":1879},[618],[567,1881,1856],{"className":1882},[618,789],[567,1884,1886],{"className":1885},[625],[567,1887,1890,1914],{"className":1888},[629,1889],"vlist-t2",[567,1891,1893,1909],{"className":1892},[633],[567,1894,1897],{"className":1895,"style":1896},[637],"height:0.3011em;",[567,1898,1900,1903],{"style":1899},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[567,1901],{"className":1902,"style":645},[644],[567,1904,1906],{"className":1905},[649,650,651,652],[567,1907,1859],{"className":1908},[618,652],[567,1910,1913],{"className":1911},[1912],"vlist-s","​",[567,1915,1917],{"className":1916},[633],[567,1918,1921],{"className":1919,"style":1920},[637],"height:0.15em;",[567,1922],{},[567,1924],{"className":1925,"style":1076},[1051],[567,1927,987],{"className":1928},[1080],[567,1930],{"className":1931,"style":1076},[1051],[567,1933,1935,1938],{"className":1934},[609],[567,1936],{"className":1937,"style":1390},[613],[567,1939,591],{"className":1940},[618]," mit ",[567,1943,1945,1983],{"className":1944},[570],[567,1946,1948],{"className":1947},[574],[576,1949,1950],{"xmlns":578},[580,1951,1952,1980],{},[583,1953,1954,1960,1962,1964,1966,1968,1970,1972,1974,1976,1978],{},[744,1955,1956,1958],{"accent":605},[747,1957,834],{},[593,1959,752],{},[593,1961,987],{},[593,1963,969],{"stretchy":968},[589,1965,591],{},[593,1967,1727],{"separator":605},[1729,1969,1731],{},[589,1971,591],{},[593,1973,1727],{"separator":605},[1729,1975,1731],{},[589,1977,1724],{},[593,1979,984],{"stretchy":968},[597,1981,1982],{"encoding":599},"\\vec{n} = (0,\\ 0,\\ 1)",[567,1984,1986,2036],{"className":1985,"ariaHidden":605},[604],[567,1987,1989,1992,2027,2030,2033],{"className":1988},[609],[567,1990],{"className":1991,"style":765},[613],[567,1993,1995],{"className":1994},[618,769],[567,1996,1998],{"className":1997},[629],[567,1999,2001],{"className":2000},[633],[567,2002,2004,2012],{"className":2003,"style":765},[637],[567,2005,2006,2009],{"style":781},[567,2007],{"className":2008,"style":785},[644],[567,2010,834],{"className":2011},[618,789],[567,2013,2014,2017],{"style":781},[567,2015],{"className":2016,"style":785},[644],[567,2018,2020],{"className":2019,"style":877},[798],[567,2021,2023],{"className":2022,"style":804},[803],[806,2024,2025],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,2026],{"d":817},[567,2028],{"className":2029,"style":1076},[1051],[567,2031,987],{"className":2032},[1080],[567,2034],{"className":2035,"style":1076},[1051],[567,2037,2039,2042,2045,2048,2051,2054,2057,2060,2063,2066,2069,2072],{"className":2038},[609],[567,2040],{"className":2041,"style":1007},[613],[567,2043,969],{"className":2044},[1015],[567,2046,591],{"className":2047},[618],[567,2049,1727],{"className":2050},[1813],[567,2052,1731],{"className":2053},[1051],[567,2055],{"className":2056,"style":1097},[1051],[567,2058,591],{"className":2059},[618],[567,2061,1727],{"className":2062},[1813],[567,2064,1731],{"className":2065},[1051],[567,2067],{"className":2068,"style":1097},[1051],[567,2070,1724],{"className":2071},[618],[567,2073,984],{"className":2074},[1072],":",[567,2077,2080],{"className":2078},[2079],"katex-display",[567,2081,2083,2167],{"className":2082},[570],[567,2084,2086],{"className":2085},[574],[576,2087,2089],{"xmlns":578,"display":2088},"block",[580,2090,2091,2164],{},[583,2092,2093,2095,2097,2099,2101,2135,2137,2145,2148,2151,2153,2155,2157],{},[747,2094,990],{},[593,2096,965],{},[747,2098,981],{},[593,2100,987],{},[2102,2103,2104,2123],"mfrac",{},[583,2105,2106,2110,2112,2115,2117,2119,2121],{},[747,2107,2109],{"mathvariant":2108},"normal","∣",[589,2111,591],{},[593,2113,2114],{},"+",[589,2116,591],{},[593,2118,2114],{},[589,2120,1724],{},[747,2122,2109],{"mathvariant":2108},[583,2124,2125,2131,2133],{},[2126,2127,2128],"msqrt",{},[589,2129,2130],{},"2",[593,2132,1267],{},[589,2134,1724],{},[593,2136,987],{},[2102,2138,2139,2141],{},[589,2140,1724],{},[2126,2142,2143],{},[589,2144,2130],{},[1051,2146],{"width":2147},"1em",[593,2149,2150],{},"⇒",[1051,2152],{"width":2147},[747,2154,981],{},[593,2156,987],{},[586,2158,2159,2162],{},[589,2160,2161],{},"45",[593,2163,595],{},[597,2165,2166],{"encoding":599},"\\sin\\alpha = \\frac{|0 + 0 + 1|}{\\sqrt{2} \\cdot 1} = \\frac{1}{\\sqrt{2}}\n\\quad\\Rightarrow\\quad \\alpha = 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= (2,\\ -3,\\ 4)",[567,2611,2613,2663],{"className":2612,"ariaHidden":605},[604],[567,2614,2616,2619,2654,2657,2660],{"className":2615},[609],[567,2617],{"className":2618,"style":765},[613],[567,2620,2622],{"className":2621},[618,769],[567,2623,2625],{"className":2624},[629],[567,2626,2628],{"className":2627},[633],[567,2629,2631,2639],{"className":2630,"style":765},[637],[567,2632,2633,2636],{"style":781},[567,2634],{"className":2635,"style":785},[644],[567,2637,749],{"className":2638},[618,789],[567,2640,2641,2644],{"style":781},[567,2642],{"className":2643,"style":785},[644],[567,2645,2647],{"className":2646,"style":799},[798],[567,2648,2650],{"className":2649,"style":804},[803],[806,2651,2652],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,2653],{"d":817},[567,2655],{"className":2656,"style":1076},[1051],[567,2658,987],{"className":2659},[1080],[567,2661],{"className":2662,"style":1076},[1051],[567,2664,2666,2669,2672,2675,2678,2681,2684,2687,2690,2693,2696,2699,2702],{"className":2665},[609],[567,2667],{"className":2668,"style":1007},[613],[567,2670,969],{"className":2671},[1015],[567,2673,2130],{"className":2674},[618],[567,2676,1727],{"className":2677},[1813],[567,2679,1731],{"className":2680},[1051],[567,2682],{"className":2683,"style":1097},[1051],[567,2685,978],{"className":2686},[618],[567,2688,1859],{"className":2689},[618],[567,2691,1727],{"className":2692},[1813],[567,2694,1731],{"className":2695},[1051],[567,2697],{"className":2698,"style":1097},[1051],[567,2700,2533],{"className":2701},[618],[567,2703,984],{"className":2704},[1072],[567,2706,2708,2752],{"className":2707},[570],[567,2709,2711],{"className":2710},[574],[576,2712,2713],{"xmlns":578},[580,2714,2715,2749],{},[583,2716,2717,2719,2725,2727,2733,2735,2737,2743,2745,2747],{},[589,2718,2130],{},[1852,2720,2721,2723],{},[747,2722,1856],{},[589,2724,1724],{},[593,2726,978],{},[1852,2728,2729,2731],{},[747,2730,1856],{},[589,2732,2130],{},[593,2734,2114],{},[589,2736,2130],{},[1852,2738,2739,2741],{},[747,2740,1856],{},[589,2742,1859],{},[593,2744,987],{},[593,2746,978],{},[589,2748,1859],{},[597,2750,2751],{"encoding":599},"2x_1 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= (2,\\ -1,\\ 2)",[567,2985,2987,3037],{"className":2986,"ariaHidden":605},[604],[567,2988,2990,2993,3028,3031,3034],{"className":2989},[609],[567,2991],{"className":2992,"style":765},[613],[567,2994,2996],{"className":2995},[618,769],[567,2997,2999],{"className":2998},[629],[567,3000,3002],{"className":3001},[633],[567,3003,3005,3013],{"className":3004,"style":765},[637],[567,3006,3007,3010],{"style":781},[567,3008],{"className":3009,"style":785},[644],[567,3011,834],{"className":3012},[618,789],[567,3014,3015,3018],{"style":781},[567,3016],{"className":3017,"style":785},[644],[567,3019,3021],{"className":3020,"style":877},[798],[567,3022,3024],{"className":3023,"style":804},[803],[806,3025,3026],{"xmlns":808,"width":809,"height":810,"style":811,"viewBox":812,"preserveAspectRatio":813},[815,3027],{"d":817},[567,3029],{"className":3030,"style":1076},[1051],[567,3032,987],{"className":3033},[1080],[567,3035],{"className":3036,"style":1076},[1051],[567,3038,3040,3043,3046,3049,3052,3055,3058,3061,3064,3067,3070,3073,3076],{"className":3039},[609],[567,3041],{"className":3042,"style":1007},[613],[567,3044,969],{"className":3045},[1015],[567,3047,2130],{"className":3048},[618],[567,3050,1727],{"className":3051},[1813],[567,3053,1731],{"className":3054},[1051],[567,3056],{"className":3057,"style":1097},[1051],[567,3059,978],{"className":3060},[618],[567,3062,1724],{"className":3063},[618],[567,3065,1727],{"className":3066},[1813],[567,3068,1731],{"className":3069},[1051],[567,3071],{"className":3072,"style":1097},[1051],[567,3074,2130],{"className":3075},[618],[567,3077,984],{"className":3078},[1072],[567,3080,3082],{"className":3081},[2079],[567,3083,3085,3163],{"className":3084},[570],[567,3086,3088],{"className":3087},[574],[576,3089,3090],{"xmlns":578,"display":2088},[580,3091,3092,3160],{},[583,3093,3094,3096,3098,3100,3102,3132,3134,3142,3144,3146,3148,3150,3153],{},[747,3095,990],{},[593,3097,965],{},[747,3099,981],{},[593,3101,987],{},[2102,3103,3104,3121],{},[583,3105,3106,3108,3110,3112,3114,3116,3119],{},[747,3107,2109],{"mathvariant":2108},[589,3109,2533],{},[593,3111,2114],{},[589,3113,1859],{},[593,3115,2114],{},[589,3117,3118],{},"8",[747,3120,2109],{"mathvariant":2108},[583,3122,3123,3128,3130],{},[2126,3124,3125],{},[589,3126,3127],{},"29",[593,3129,1267],{},[589,3131,1859],{},[593,3133,987],{},[2102,3135,3136,3138],{},[589,3137,2540],{},[2126,3139,3140],{},[589,3141,3127],{},[1051,3143],{"width":2147},[593,3145,2150],{},[1051,3147],{"width":2147},[747,3149,981],{},[593,3151,3152],{},"≈",[586,3154,3155,3158],{},[589,3156,3157],{},"68,20",[593,3159,595],{},[597,3161,3162],{"encoding":599},"\\sin\\alpha = \\frac{|4 + 3 + 8|}{\\sqrt{29} \\cdot 3} = \\frac{5}{\\sqrt{29}}\n\\quad\\Rightarrow\\quad \\alpha \\approx 68{,}20^\\circ",[567,3164,3166,3190,3349,3476,3495],{"className":3165,"ariaHidden":605},[604],[567,3167,3169,3172,3175,3178,3181,3184,3187],{"className":3168},[609],[567,3170],{"className":3171,"style":1090},[613],[567,3173,990],{"className":3174},[1011],[567,3176],{"className":3177,"style":1097},[1051],[567,3179,981],{"className":3180,"style":1068},[618,789],[567,3182],{"className":3183,"style":1076},[1051],[567,3185,987],{"className":3186},[1080],[567,3188],{"className":3189,"style":1076},[1051],[567,3191,3193,3196,3340,3343,3346],{"className":3192},[609],[567,3194],{"className":3195,"style":2200},[613],[567,3197,3199,3202,3337],{"className":3198},[618],[567,3200],{"className":3201},[1015,2207],[567,3203,3205],{"className":3204},[2102],[567,3206,3208,3329],{"className":3207},[629,1889],[567,3209,3211,3326],{"className":3210},[633],[567,3212,3214,3281,3289],{"className":3213,"style":2220},[637],[567,3215,3216,3219],{"style":2223},[567,3217],{"className":3218,"style":785},[644],[567,3220,3222,3269,3272,3275,3278],{"className":3221},[618],[567,3223,3225],{"className":3224},[618,2233],[567,3226,3228,3261],{"className":3227},[629,1889],[567,3229,3231,3258],{"className":3230},[633],[567,3232,3234,3246],{"className":3233,"style":2243},[637],[567,3235,3237,3240],{"className":3236,"style":781},[2247],[567,3238],{"className":3239,"style":785},[644],[567,3241,3243],{"className":3242,"style":2254},[618],[567,3244,3127],{"className":3245},[618],[567,3247,3248,3251],{"style":2260},[567,3249],{"className":3250,"style":785},[644],[567,3252,3254],{"className":3253,"style":2268},[2267],[806,3255,3256],{"xmlns":808,"width":2271,"height":2272,"viewBox":2273,"preserveAspectRatio":2274},[815,3257],{"d":2277},[567,3259,1913],{"className":3260},[1912],[567,3262,3264],{"className":3263},[633],[567,3265,3267],{"className":3266,"style":2287},[637],[567,3268],{},[567,3270],{"className":3271,"style":1052},[1051],[567,3273,1267],{"className":3274},[656],[567,3276],{"className":3277,"style":1052},[1051],[567,3279,1859],{"className":3280},[618],[567,3282,3283,3286],{"style":2304},[567,3284],{"className":3285,"style":785},[644],[567,3287],{"className":3288,"style":2312},[2311],[567,3290,3291,3294],{"style":2315},[567,3292],{"className":3293,"style":785},[644],[567,3295,3297,3301,3304,3307,3310,3313,3316,3319,3322],{"className":3296},[618],[567,3298,3300],{"className":3299},[618],"∣4",[567,3302],{"className":3303,"style":1052},[1051],[567,3305,2114],{"className":3306},[656],[567,3308],{"className":3309,"style":1052},[1051],[567,3311,1859],{"className":3312},[618],[567,3314],{"className":3315,"style":1052},[1051],[567,3317,2114],{"className":3318},[656],[567,3320],{"className":3321,"style":1052},[1051],[567,3323,3325],{"className":3324},[618],"8∣",[567,3327,1913],{"className":3328},[1912],[567,3330,3332],{"className":3331},[633],[567,3333,3335],{"className":3334,"style":2360},[637],[567,3336],{},[567,3338],{"className":3339},[1072,2207],[567,3341],{"className":3342,"style":1076},[1051],[567,3344,987],{"className":3345},[1080],[567,3347],{"className":3348,"style":1076},[1051],[567,3350,3352,3355,3461,3464,3467,3470,3473],{"className":3351},[609],[567,3353],{"className":3354,"style":2381},[613],[567,3356,3358,3361,3458],{"className":3357},[618],[567,3359],{"className":3360},[1015,2207],[567,3362,3364],{"className":3363},[2102],[567,3365,3367,3450],{"className":3366},[629,1889],[567,3368,3370,3447],{"className":3369},[633],[567,3371,3373,3428,3436],{"className":3372,"style":2400},[637],[567,3374,3375,3378],{"style":2223},[567,3376],{"className":3377,"style":785},[644],[567,3379,3381],{"className":3380},[618],[567,3382,3384],{"className":3383},[618,2233],[567,3385,3387,3420],{"className":3386},[629,1889],[567,3388,3390,3417],{"className":3389},[633],[567,3391,3393,3405],{"className":3392,"style":2243},[637],[567,3394,3396,3399],{"className":3395,"style":781},[2247],[567,3397],{"className":3398,"style":785},[644],[567,3400,3402],{"className":3401,"style":2254},[618],[567,3403,3127],{"className":3404},[618],[567,3406,3407,3410],{"style":2260},[567,3408],{"className":3409,"style":785},[644],[567,3411,3413],{"className":3412,"style":2268},[2267],[806,3414,3415],{"xmlns":808,"width":2271,"height":2272,"viewBox":2273,"preserveAspectRatio":2274},[815,3416],{"d":2277},[567,3418,1913],{"className":3419},[1912],[567,3421,3423],{"className":3422},[633],[567,3424,3426],{"className":3425,"style":2287},[637],[567,3427],{},[567,3429,3430,3433],{"style":2304},[567,3431],{"className":3432,"style":785},[644],[567,3434],{"className":3435,"style":2312},[2311],[567,3437,3438,3441],{"style":2315},[567,3439],{"className":3440,"style":785},[644],[567,3442,3444],{"className":3443},[618],[567,3445,2540],{"className":3446},[618],[567,3448,1913],{"className":3449},[1912],[567,3451,3453],{"className":3452},[633],[567,3454,3456],{"className":3455,"style":2360},[637],[567,3457],{},[567,3459],{"className":3460},[1072,2207],[567,3462],{"className":3463,"style":2492},[1051],[567,3465],{"className":3466,"style":1076},[1051],[567,3468,2150],{"className":3469},[1080],[567,3471],{"className":3472,"style":2492},[1051],[567,3474],{"className":3475,"style":1076},[1051],[567,3477,3479,3483,3486,3489,3492],{"className":3478},[609],[567,3480],{"className":3481,"style":3482},[613],"height:0.4831em;",[567,3484,981],{"className":3485,"style":1068},[618,789],[567,3487],{"className":3488,"style":1076},[1051],[567,3490,3152],{"className":3491},[1080],[567,3493],{"className":3494,"style":1076},[1051],[567,3496,3498,3502,3506,3512,3515],{"className":3497},[609],[567,3499],{"className":3500,"style":3501},[613],"height:0.9186em;vertical-align:-0.1944em;",[567,3503,3505],{"className":3504},[618],"68",[567,3507,3509],{"className":3508},[618],[567,3510,1727],{"className":3511},[1813],[567,3513,2130],{"className":3514},[618],[567,3516,3518,3521],{"className":3517},[618],[567,3519,591],{"className":3520},[618],[567,3522,3524],{"className":3523},[625],[567,3525,3527],{"className":3526},[629],[567,3528,3530],{"className":3529},[633],[567,3531,3533],{"className":3532,"style":2529},[637],[567,3534,3535,3538],{"style":2555},[567,3536],{"className":3537,"style":645},[644],[567,3539,3541],{"className":3540},[649,650,651,652],[567,3542,595],{"className":3543},[656,652],[558,3545,3547],{"id":3546},"typische-fehler","Typische Fehler",[1242,3549,3550,3628,3631],{},[1245,3551,3552,3553,3627],{},"Kosinus statt Sinus verwenden. Im zweiten Beispiel käme ",[567,3554,3556,3575],{"className":3555},[570],[567,3557,3559],{"className":3558},[574],[576,3560,3561],{"xmlns":578},[580,3562,3563,3572],{},[583,3564,3565],{},[586,3566,3567,3570],{},[589,3568,3569],{},"21,80",[593,3571,595],{},[597,3573,3574],{"encoding":599},"21{,}80^\\circ",[567,3576,3578],{"className":3577,"ariaHidden":605},[604],[567,3579,3581,3585,3589,3595,3598],{"className":3580},[609],[567,3582],{"className":3583,"style":3584},[613],"height:0.8686em;vertical-align:-0.1944em;",[567,3586,3588],{"className":3587},[618],"21",[567,3590,3592],{"className":3591},[618],[567,3593,1727],{"className":3594},[1813],[567,3596,3118],{"className":3597},[618],[567,3599,3601,3604],{"className":3600},[618],[567,3602,591],{"className":3603},[618],[567,3605,3607],{"className":3606},[625],[567,3608,3610],{"className":3609},[629],[567,3611,3613],{"className":3612},[633],[567,3614,3616],{"className":3615,"style":614},[637],[567,3617,3618,3621],{"style":640},[567,3619],{"className":3620,"style":645},[644],[567,3622,3624],{"className":3623},[649,650,651,652],[567,3625,595],{"className":3626},[656,652]," heraus, das ist der Winkel zwischen Gerade und Normalenvektor.",[1245,3629,3630],{},"Einen Spannvektor der Ebene statt des Normalenvektors einsetzen.",[1245,3632,3633],{},"Den Betrag im Zähler vergessen und dadurch einen negativen Sinus erhalten.",{"title":3635,"searchDepth":3636,"depth":3636,"links":3637},"",2,[3638,3639,3640],{"id":560,"depth":3636,"text":561},{"id":1695,"depth":3636,"text":1696},{"id":3546,"depth":3636,"text":3547},[3642,3647,3650,3652,3655,3658,3661],{"lhs":3643,"rhs":3644,"where":3645},"asin(x) + acos(x)","pi\u002F2",{"x":3646},0.6,{"lhs":3648,"rhs":3649},"abs(1*0 + 0*0 + 1*1) \u002F (sqrt(2) * 1)","1\u002Fsqrt(2)",{"lhs":3651,"rhs":2161},"asin(1\u002Fsqrt(2)) * 180\u002Fpi",{"lhs":3653,"rhs":3654},"abs(2*2 + (-3)*(-1) + 4*2)","15",{"lhs":3656,"rhs":3657},"15 \u002F (sqrt(29) * 3)","5\u002Fsqrt(29)",{"lhs":3659,"rhs":3660},"round(asin(5\u002Fsqrt(29)) * 180\u002Fpi, 2)","68.2",{"lhs":3662,"rhs":3663},"round(acos(5\u002Fsqrt(29)) * 180\u002Fpi, 2)","21.8","\\vec{u} \\neq \\vec{0},\\ \\vec{n} \\neq \\vec{0},\\ 0^\\circ \\leq \\alpha \\leq 90^\\circ","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmi>u\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmn>0\u003C\u002Fmn>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\vec{u} \\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 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\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" 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:1.1219em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9274em;\">\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>\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>\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>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\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\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\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>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" 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:1.1219em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9274em;\">\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>\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>\u003Cmsup>\u003Cmn>0\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmsup>\u003Cmn>90\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0^\\circ \\leq \\alpha \\leq 90^\\circ\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:0.8101em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6741em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mbin mtight\">∘\u003C\u002Fspan>\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\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≤\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6741em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">9\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6741em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mbin mtight\">∘\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","angle-line-plane","\\sin\\alpha = \\frac{|\\vec{u} \\cdot \\vec{n}|}{|\\vec{u}| \\cdot |\\vec{n}|}","\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>\u003Cmi>sin\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003Cmover accent=\"true\">\u003Cmi>u\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003Cmover accent=\"true\">\u003Cmi>u\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003Cmover accent=\"true\">\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\sin\\alpha = \\frac{|\\vec{u} \\cdot \\vec{n}|}{|\\vec{u}| \\cdot |\\vec{n}|}\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:0.6679em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">sin\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.363em;vertical-align:-0.936em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.427em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">∣\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=\"mord\">∣\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>\u003Cspan 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