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",[577,1097,1099,1117],{"className":1098},[580],[577,1100,1102],{"className":1101},[584],[586,1103,1104],{"xmlns":588},[590,1105,1106,1114],{},[593,1107,1108],{},[596,1109,1110,1112],{"accent":598},[600,1111,624],{},[604,1113,606],{},[628,1115,1116],{"encoding":630},"\\vec{v}",[577,1118,1120],{"className":1119,"ariaHidden":598},[635],[577,1121,1123,1126],{"className":1122},[639],[577,1124],{"className":1125,"style":644},[643],[577,1127,1129],{"className":1128},[648,649],[577,1130,1132],{"className":1131},[653],[577,1133,1135],{"className":1134},[657],[577,1136,1138,1146],{"className":1137,"style":644},[661],[577,1139,1140,1143],{"style":664},[577,1141],{"className":1142,"style":669},[668],[577,1144,624],{"className":1145,"style":794},[648,673],[577,1147,1148,1151],{"style":664},[577,1149],{"className":1150,"style":669},[668],[577,1152,1154],{"className":1153,"style":749},[682],[577,1155,1157],{"className":1156,"style":688},[687],[690,1158,1159],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1160],{"d":701}," fallen im Skalarprodukt mit ",[577,1163,1165,1183],{"className":1164},[580],[577,1166,1168],{"className":1167},[584],[586,1169,1170],{"xmlns":588},[590,1171,1172,1180],{},[593,1173,1174],{},[596,1175,1176,1178],{"accent":598},[600,1177,602],{},[604,1179,606],{},[628,1181,1182],{"encoding":630},"\\vec{n}",[577,1184,1186],{"className":1185,"ariaHidden":598},[635],[577,1187,1189,1192],{"className":1188},[639],[577,1190],{"className":1191,"style":644},[643],[577,1193,1195],{"className":1194},[648,649],[577,1196,1198],{"className":1197},[653],[577,1199,1201],{"className":1200},[657],[577,1202,1204,1212],{"className":1203,"style":644},[661],[577,1205,1206,1209],{"style":664},[577,1207],{"className":1208,"style":669},[668],[577,1210,602],{"className":1211},[648,673],[577,1213,1214,1217],{"style":664},[577,1215],{"className":1216,"style":669},[668],[577,1218,1220],{"className":1219,"style":683},[682],[577,1221,1223],{"className":1222,"style":688},[687],[690,1224,1225],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1226],{"d":701}," weg.",[564,1229,1230,1231,1234,1235,1263,1264,1387,1388,1416,1417,1445,1446,1474],{},"Gleichwertig ist der Weg über eine ",[568,1232,1233],{},"Hilfsebene",": Man legt durch ",[577,1236,1238,1251],{"className":1237},[580],[577,1239,1241],{"className":1240},[584],[586,1242,1243],{"xmlns":588},[590,1244,1245,1249],{},[593,1246,1247],{},[600,1248,982],{},[628,1250,982],{"encoding":630},[577,1252,1254],{"className":1253,"ariaHidden":598},[635],[577,1255,1257,1260],{"className":1256},[639],[577,1258],{"className":1259,"style":994},[643],[577,1261,982],{"className":1262,"style":794},[648,673]," die Ebene mit Normalenvektor ",[577,1265,1267,1293],{"className":1266},[580],[577,1268,1270],{"className":1269},[584],[586,1271,1272],{"xmlns":588},[590,1273,1274,1290],{},[593,1275,1276,1282,1284],{},[596,1277,1278,1280],{"accent":598},[600,1279,614],{},[604,1281,606],{},[604,1283,619],{},[596,1285,1286,1288],{"accent":598},[600,1287,624],{},[604,1289,606],{},[628,1291,1292],{"encoding":630},"\\vec{u} \\times \\vec{v}",[577,1294,1296,1346],{"className":1295,"ariaHidden":598},[635],[577,1297,1299,1302,1337,1340,1343],{"className":1298},[639],[577,1300],{"className":1301,"style":720},[643],[577,1303,1305],{"className":1304},[648,649],[577,1306,1308],{"className":1307},[653],[577,1309,1311],{"className":1310},[657],[577,1312,1314,1322],{"className":1313,"style":644},[661],[577,1315,1316,1319],{"style":664},[577,1317],{"className":1318,"style":669},[668],[577,1320,614],{"className":1321},[648,673],[577,1323,1324,1327],{"style":664},[577,1325],{"className":1326,"style":669},[668],[577,1328,1330],{"className":1329,"style":749},[682],[577,1331,1333],{"className":1332,"style":688},[687],[690,1334,1335],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1336],{"d":701},[577,1338],{"className":1339,"style":760},[705],[577,1341,619],{"className":1342},[764],[577,1344],{"className":1345,"style":760},[705],[577,1347,1349,1352],{"className":1348},[639],[577,1350],{"className":1351,"style":644},[643],[577,1353,1355],{"className":1354},[648,649],[577,1356,1358],{"className":1357},[653],[577,1359,1361],{"className":1360},[657],[577,1362,1364,1372],{"className":1363,"style":644},[661],[577,1365,1366,1369],{"style":664},[577,1367],{"className":1368,"style":669},[668],[577,1370,624],{"className":1371,"style":794},[648,673],[577,1373,1374,1377],{"style":664},[577,1375],{"className":1376,"style":669},[668],[577,1378,1380],{"className":1379,"style":749},[682],[577,1381,1383],{"className":1382,"style":688},[687],[690,1384,1385],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1386],{"d":701},". Sie ist parallel zu ",[577,1389,1391,1404],{"className":1390},[580],[577,1392,1394],{"className":1393},[584],[586,1395,1396],{"xmlns":588},[590,1397,1398,1402],{},[593,1399,1400],{},[600,1401,1013],{},[628,1403,1013],{"encoding":630},[577,1405,1407],{"className":1406,"ariaHidden":598},[635],[577,1408,1410,1413],{"className":1409},[639],[577,1411],{"className":1412,"style":1025},[643],[577,1414,1013],{"className":1415},[648,673],", und der Abstand von ",[577,1418,1420,1433],{"className":1419},[580],[577,1421,1423],{"className":1422},[584],[586,1424,1425],{"xmlns":588},[590,1426,1427,1431],{},[593,1428,1429],{},[600,1430,1013],{},[628,1432,1013],{"encoding":630},[577,1434,1436],{"className":1435,"ariaHidden":598},[635],[577,1437,1439,1442],{"className":1438},[639],[577,1440],{"className":1441,"style":1025},[643],[577,1443,1013],{"className":1444},[648,673]," zu ihr ist der Abstand eines beliebigen Punkts von ",[577,1447,1449,1462],{"className":1448},[580],[577,1450,1452],{"className":1451},[584],[586,1453,1454],{"xmlns":588},[590,1455,1456,1460],{},[593,1457,1458],{},[600,1459,1013],{},[628,1461,1013],{"encoding":630},[577,1463,1465],{"className":1464,"ariaHidden":598},[635],[577,1466,1468,1471],{"className":1467},[639],[577,1469],{"className":1470,"style":1025},[643],[577,1472,1013],{"className":1473},[648,673],", z.B. mit der Hesseschen Normalform.",[564,1476,1477,1478,1509,1510,1693],{},"Für schneidende Geraden liefert die Formel ",[577,1479,1481,1496],{"className":1480},[580],[577,1482,1484],{"className":1483},[584],[586,1485,1486],{"xmlns":588},[590,1487,1488,1494],{},[593,1489,1490],{},[1491,1492,1493],"mn",{},"0",[628,1495,1493],{"encoding":630},[577,1497,1499],{"className":1498,"ariaHidden":598},[635],[577,1500,1502,1506],{"className":1501},[639],[577,1503],{"className":1504,"style":1505},[643],"height:0.6444em;",[577,1507,1493],{"className":1508},[648],". Für parallele Geraden ist ",[577,1511,1513,1547],{"className":1512},[580],[577,1514,1516],{"className":1515},[584],[586,1517,1518],{"xmlns":588},[590,1519,1520,1544],{},[593,1521,1522,1528,1530,1536,1538],{},[596,1523,1524,1526],{"accent":598},[600,1525,614],{},[604,1527,606],{},[604,1529,619],{},[596,1531,1532,1534],{"accent":598},[600,1533,624],{},[604,1535,606],{},[604,1537,609],{},[596,1539,1540,1542],{"accent":598},[1491,1541,1493],{},[604,1543,606],{},[628,1545,1546],{"encoding":630},"\\vec{u} \\times \\vec{v} = \\vec{0}",[577,1548,1550,1600,1650],{"className":1549,"ariaHidden":598},[635],[577,1551,1553,1556,1591,1594,1597],{"className":1552},[639],[577,1554],{"className":1555,"style":720},[643],[577,1557,1559],{"className":1558},[648,649],[577,1560,1562],{"className":1561},[653],[577,1563,1565],{"className":1564},[657],[577,1566,1568,1576],{"className":1567,"style":644},[661],[577,1569,1570,1573],{"style":664},[577,1571],{"className":1572,"style":669},[668],[577,1574,614],{"className":1575},[648,673],[577,1577,1578,1581],{"style":664},[577,1579],{"className":1580,"style":669},[668],[577,1582,1584],{"className":1583,"style":749},[682],[577,1585,1587],{"className":1586,"style":688},[687],[690,1588,1589],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1590],{"d":701},[577,1592],{"className":1593,"style":760},[705],[577,1595,619],{"className":1596},[764],[577,1598],{"className":1599,"style":760},[705],[577,1601,1603,1606,1641,1644,1647],{"className":1602},[639],[577,1604],{"className":1605,"style":644},[643],[577,1607,1609],{"className":1608},[648,649],[577,1610,1612],{"className":1611},[653],[577,1613,1615],{"className":1614},[657],[577,1616,1618,1626],{"className":1617,"style":644},[661],[577,1619,1620,1623],{"style":664},[577,1621],{"className":1622,"style":669},[668],[577,1624,624],{"className":1625,"style":794},[648,673],[577,1627,1628,1631],{"style":664},[577,1629],{"className":1630,"style":669},[668],[577,1632,1634],{"className":1633,"style":749},[682],[577,1635,1637],{"className":1636,"style":688},[687],[690,1638,1639],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1640],{"d":701},[577,1642],{"className":1643,"style":706},[705],[577,1645,609],{"className":1646},[710],[577,1648],{"className":1649,"style":706},[705],[577,1651,1653,1657],{"className":1652},[639],[577,1654],{"className":1655,"style":1656},[643],"height:0.9274em;",[577,1658,1660],{"className":1659},[648,649],[577,1661,1663],{"className":1662},[653],[577,1664,1666],{"className":1665},[657],[577,1667,1669,1677],{"className":1668,"style":1656},[661],[577,1670,1671,1674],{"style":664},[577,1672],{"className":1673,"style":669},[668],[577,1675,1493],{"className":1676},[648],[577,1678,1680,1683],{"style":1679},"top:-3.2134em;",[577,1681],{"className":1682,"style":669},[668],[577,1684,1686],{"className":1685,"style":683},[682],[577,1687,1689],{"className":1688,"style":688},[687],[690,1690,1691],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1692],{"d":701},", dann nimmt man den Abstand eines Punkts von der anderen Geraden.",[559,1695,1697],{"id":1696},"beispiele","Beispiele",[564,1699,1700,1997,1998,2265],{},[577,1701,1703,1799],{"className":1702},[580],[577,1704,1706],{"className":1705},[584],[586,1707,1708],{"xmlns":588},[590,1709,1710,1796],{},[593,1711,1712,1714,1716,1719,1723,1727,1730,1733,1740,1742,1746,1749,1752,1755,1757,1759,1761,1764,1767,1770,1773,1776,1778,1780,1782,1784,1786,1788,1790,1792,1794],{},[600,1713,982],{},[705,1715],{},[705,1717],{"width":1718},"0.1111em",[604,1720],{"lspace":1721,"rspace":1722},"0em","0.17em",[1724,1725,1726],"mtext",{}," ⁣",[604,1728,1729],{"lspace":1721,"rspace":1721},":",[705,1731],{"width":1732},"0.3333em",[596,1734,1735,1738],{"accent":598},[600,1736,1737],{},"x",[604,1739,606],{},[604,1741,609],{},[604,1743,1745],{"stretchy":1744},"false","(",[1491,1747,1748],{},"1",[604,1750,1751],{"separator":598},",",[1724,1753,1754],{}," ",[1491,1756,1493],{},[604,1758,1751],{"separator":598},[1724,1760,1754],{},[1491,1762,1763],{},"2",[604,1765,1766],{"stretchy":1744},")",[604,1768,1769],{},"+",[600,1771,1772],{},"s",[604,1774,1775],{},"⋅",[604,1777,1745],{"stretchy":1744},[1491,1779,1748],{},[604,1781,1751],{"separator":598},[1724,1783,1754],{},[1491,1785,1763],{},[604,1787,1751],{"separator":598},[1724,1789,1754],{},[604,1791,835],{},[1491,1793,1748],{},[604,1795,1766],{"stretchy":1744},[628,1797,1798],{"encoding":630},"g\\colon \\vec{x} = (1,\\ 0,\\ 2) + s \\cdot (1,\\ 2,\\ -1)",[577,1800,1802,1885,1936,1955],{"className":1801,"ariaHidden":598},[635],[577,1803,1805,1808,1811,1815,1819,1823,1827,1831,1837,1841,1876,1879,1882],{"className":1804},[639],[577,1806],{"className":1807,"style":854},[643],[577,1809,982],{"className":1810,"style":794},[648,673],[577,1812],{"className":1813},[705,1814],"nobreak",[577,1816],{"className":1817,"style":1818},[705],"margin-right:0.1111em;",[577,1820],{"className":1821},[1822],"mpunct",[577,1824],{"className":1825,"style":1826},[705],"margin-right:-0.1667em;",[577,1828],{"className":1829,"style":1830},[705],"margin-right:0.1667em;",[577,1832,1834],{"className":1833},[648],[577,1835,1729],{"className":1836},[710],[577,1838],{"className":1839,"style":1840},[705],"margin-right:0.3333em;",[577,1842,1844],{"className":1843},[648,649],[577,1845,1847],{"className":1846},[653],[577,1848,1850],{"className":1849},[657],[577,1851,1853,1861],{"className":1852,"style":644},[661],[577,1854,1855,1858],{"style":664},[577,1856],{"className":1857,"style":669},[668],[577,1859,1737],{"className":1860},[648,673],[577,1862,1863,1866],{"style":664},[577,1864],{"className":1865,"style":669},[668],[577,1867,1869],{"className":1868,"style":749},[682],[577,1870,1872],{"className":1871,"style":688},[687],[690,1873,1874],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,1875],{"d":701},[577,1877],{"className":1878,"style":706},[705],[577,1880,609],{"className":1881},[710],[577,1883],{"className":1884,"style":706},[705],[577,1886,1888,1892,1896,1899,1902,1905,1908,1911,1914,1917,1920,1923,1927,1930,1933],{"className":1887},[639],[577,1889],{"className":1890,"style":1891},[643],"height:1em;vertical-align:-0.25em;",[577,1893,1745],{"className":1894},[1895],"mopen",[577,1897,1748],{"className":1898},[648],[577,1900,1751],{"className":1901},[1822],[577,1903,1754],{"className":1904},[705],[577,1906],{"className":1907,"style":1830},[705],[577,1909,1493],{"className":1910},[648],[577,1912,1751],{"className":1913},[1822],[577,1915,1754],{"className":1916},[705],[577,1918],{"className":1919,"style":1830},[705],[577,1921,1763],{"className":1922},[648],[577,1924,1766],{"className":1925},[1926],"mclose",[577,1928],{"className":1929,"style":760},[705],[577,1931,1769],{"className":1932},[764],[577,1934],{"className":1935,"style":760},[705],[577,1937,1939,1943,1946,1949,1952],{"className":1938},[639],[577,1940],{"className":1941,"style":1942},[643],"height:0.4445em;",[577,1944,1772],{"className":1945},[648,673],[577,1947],{"className":1948,"style":760},[705],[577,1950,1775],{"className":1951},[764],[577,1953],{"className":1954,"style":760},[705],[577,1956,1958,1961,1964,1967,1970,1973,1976,1979,1982,1985,1988,1991,1994],{"className":1957},[639],[577,1959],{"className":1960,"style":1891},[643],[577,1962,1745],{"className":1963},[1895],[577,1965,1748],{"className":1966},[648],[577,1968,1751],{"className":1969},[1822],[577,1971,1754],{"className":1972},[705],[577,1974],{"className":1975,"style":1830},[705],[577,1977,1763],{"className":1978},[648],[577,1980,1751],{"className":1981},[1822],[577,1983,1754],{"className":1984},[705],[577,1986],{"className":1987,"style":1830},[705],[577,1989,835],{"className":1990},[648],[577,1992,1748],{"className":1993},[648],[577,1995,1766],{"className":1996},[1926]," und 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\\vec{x} = (2,\\ 3,\\ 0) + t \\cdot (0,\\ 1,\\ 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0 400000 1080","xMinYMin slice",[699,3196],{"d":3197},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[577,3199,896],{"className":3200},[895],[577,3202,3204],{"className":3203},[657],[577,3205,3208],{"className":3206,"style":3207},[661],"height:0.0839em;",[577,3209],{},[564,3211,3212,3213,3431,3432,3807],{},"Mit ",[577,3214,3216,3264],{"className":3215},[580],[577,3217,3219],{"className":3218},[584],[586,3220,3221],{"xmlns":588},[590,3222,3223,3261],{},[593,3224,3225,3231,3233,3239,3241,3243,3245,3247,3249,3251,3253,3255,3257,3259],{},[596,3226,3227,3229],{"accent":598},[600,3228,830],{},[604,3230,606],{},[604,3232,835],{},[596,3234,3235,3237],{"accent":598},[600,3236,564],{},[604,3238,606],{},[604,3240,609],{},[604,3242,1745],{"stretchy":1744},[1491,3244,1748],{},[604,3246,1751],{"separator":598},[1724,3248,1754],{},[1491,3250,2042],{},[604,3252,1751],{"separator":598},[1724,3254,1754],{},[604,3256,835],{},[1491,3258,1763],{},[604,3260,1766],{"stretchy":1744},[628,3262,3263],{"encoding":630},"\\vec{q} - \\vec{p} = (1,\\ 3,\\ -2)",[577,3265,3267,3328,3389],{"className":3266,"ariaHidden":598},[635],[577,3268,3270,3273,3319,3322,3325],{"className":3269},[639],[577,3271],{"className":3272,"style":854},[643],[577,3274,3276],{"className":3275},[648,649],[577,3277,3279,3311],{"className":3278},[653,861],[577,3280,3282,3308],{"className":3281},[657],[577,3283,3285,3293],{"className":3284,"style":644},[661],[577,3286,3287,3290],{"style":664},[577,3288],{"className":3289,"style":669},[668],[577,3291,830],{"className":3292,"style":794},[648,673],[577,3294,3295,3298],{"style":664},[577,3296],{"className":3297,"style":669},[668],[577,3299,3301],{"className":3300,"style":884},[682],[577,3302,3304],{"className":3303,"style":688},[687],[690,3305,3306],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,3307],{"d":701},[577,3309,896],{"className":3310},[895],[577,3312,3314],{"className":3313},[657],[577,3315,3317],{"className":3316,"style":903},[661],[577,3318],{},[577,3320],{"className":3321,"style":760},[705],[577,3323,835],{"className":3324},[764],[577,3326],{"className":3327,"style":760},[705],[577,3329,3331,3334,3380,3383,3386],{"className":3330},[639],[577,3332],{"className":3333,"style":854},[643],[577,3335,3337],{"className":3336},[648,649],[577,3338,3340,3372],{"className":3339},[653,861],[577,3341,3343,3369],{"className":3342},[657],[577,3344,3346,3354],{"className":3345,"style":644},[661],[577,3347,3348,3351],{"style":664},[577,3349],{"className":3350,"style":669},[668],[577,3352,564],{"className":3353},[648,673],[577,3355,3356,3359],{"style":664},[577,3357],{"className":3358,"style":669},[668],[577,3360,3362],{"className":3361,"style":884},[682],[577,3363,3365],{"className":3364,"style":688},[687],[690,3366,3367],{"xmlns":692,"width":693,"height":694,"style":695,"viewBox":696,"preserveAspectRatio":697},[699,3368],{"d":701},[577,3370,896],{"className":3371},[895],[577,3373,3375],{"className":3374},[657],[577,3376,3378],{"className":3377,"style":903},[661],[577,3379],{},[577,3381],{"className":3382,"style":706},[705],[577,3384,609],{"className":3385},[710],[577,3387],{"className":3388,"style":706},[705],[577,3390,3392,3395,3398,3401,3404,3407,3410,3413,3416,3419,3422,3425,3428],{"className":3391},[639],[577,3393],{"className":3394,"style":1891},[643],[577,3396,1745],{"className":3397},[1895],[577,3399,1748],{"className":3400},[648],[577,3402,1751],{"className":3403},[1822],[577,3405,1754],{"className":3406},[705],[577,3408],{"className":3409,"style":1830},[705],[577,3411,2042],{"className":3412},[648],[577,3414,1751],{"className":3415},[1822],[577,3417,1754],{"className":3418},[705],[577,3420],{"className":3421,"style":1830},[705],[577,3423,835],{"className":3424},[648],[577,3426,1763],{"className":3427},[648],[577,3429,1766],{"className":3430},[1926]," 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= 3 - 3 - 2 = 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],{"className":3794,"style":706},[705],[577,3796,3798,3801,3804],{"className":3797},[639],[577,3799],{"className":3800,"style":3746},[643],[577,3802,835],{"className":3803},[648],[577,3805,1763],{"className":3806},[648],", also",[577,3809,3811],{"className":3810},[2269],[577,3812,3814,3874],{"className":3813},[580],[577,3815,3817],{"className":3816},[584],[586,3818,3819],{"xmlns":588,"display":2278},[590,3820,3821,3871],{},[593,3822,3823,3826,3828,3830,3832,3834,3836,3838,3855,3857,3865,3868],{},[600,3824,3825],{},"d",[604,3827,1745],{"stretchy":1744},[600,3829,982],{},[604,3831,1751],{"separator":598},[600,3833,1013],{},[604,3835,1766],{"stretchy":1744},[604,3837,609],{},[3839,3840,3841,3851],"mfrac",{},[593,3842,3843,3845,3847,3849],{},[600,3844,2422],{"mathvariant":2421},[604,3846,835],{},[1491,3848,1763],{},[600,3850,2422],{"mathvariant":2421},[2442,3852,3853],{},[1491,3854,2446],{},[604,3856,609],{},[3839,3858,3859,3861],{},[1491,3860,1763],{},[2442,3862,3863],{},[1491,3864,2446],{},[604,3866,3867],{},"≈",[1491,3869,3870],{},"0,603",[628,3872,3873],{"encoding":630},"d(g, h) = \\frac{|-2|}{\\sqrt{11}} = \\frac{2}{\\sqrt{11}} \\approx 0{,}603",[577,3875,3877,3913,4059,4182],{"className":3876,"ariaHidden":598},[635],[577,3878,3880,3883,3886,3889,3892,3895,3898,3901,3904,3907,3910],{"className":3879},[639],[577,3881],{"className":3882,"style":1891},[643],[577,3884,3825],{"className":3885},[648,673],[577,3887,1745],{"className":3888},[1895],[577,3890,982],{"className":3891,"style":794},[648,673],[577,3893,1751],{"className":3894},[1822],[577,3896],{"className":3897,"style":1830},[705],[577,3899,1013],{"className":3900},[648,673],[577,3902,1766],{"className":3903},[1926],[577,3905],{"className":3906,"style":706},[705],[577,3908,609],{"className":3909},[710],[577,3911],{"className":3912,"style":706},[705],[577,3914,3916,3920,4050,4053,4056],{"className":3915},[639],[577,3917],{"className":3918,"style":3919},[643],"height:2.357em;vertical-align:-0.93em;",[577,3921,3923,3927,4047],{"className":3922},[648],[577,3924],{"className":3925},[1895,3926],"nulldelimiter",[577,3928,3930],{"className":3929},[3839],[577,3931,3933,4038],{"className":3932},[653,861],[577,3934,3936,4035],{"className":3935},[657],[577,3937,3940,3999,4010],{"className":3938,"style":3939},[661],"height:1.427em;",[577,3941,3943,3946],{"style":3942},"top:-2.2028em;",[577,3944],{"className":3945,"style":669},[668],[577,3947,3949],{"className":3948},[648],[577,3950,3952],{"className":3951},[648,3153],[577,3953,3955,3990],{"className":3954},[653,861],[577,3956,3958,3987],{"className":3957},[657],[577,3959,3962,3974],{"className":3960,"style":3961},[661],"height:0.9072em;",[577,3963,3965,3968],{"className":3964,"style":664},[3167],[577,3966],{"className":3967,"style":669},[668],[577,3969,3971],{"className":3970,"style":3174},[648],[577,3972,2446],{"className":3973},[648],[577,3975,3977,3980],{"style":3976},"top:-2.8672em;",[577,3978],{"className":3979,"style":669},[668],[577,3981,3983],{"className":3982,"style":3188},[3187],[690,3984,3985],{"xmlns":692,"width":3191,"height":3192,"viewBox":3193,"preserveAspectRatio":3194},[699,3986],{"d":3197},[577,3988,896],{"className":3989},[895],[577,3991,3993],{"className":3992},[657],[577,3994,3997],{"className":3995,"style":3996},[661],"height:0.1328em;",[577,3998],{},[577,4000,4002,4005],{"style":4001},"top:-3.23em;",[577,4003],{"className":4004,"style":669},[668],[577,4006],{"className":4007,"style":4009},[4008],"frac-line","border-bottom-width:0.04em;",[577,4011,4013,4016],{"style":4012},"top:-3.677em;",[577,4014],{"className":4015,"style":669},[668],[577,4017,4019,4022,4025,4028,4031],{"className":4018},[648],[577,4020,2422],{"className":4021},[648],[577,4023],{"className":4024,"style":760},[705],[577,4026,835],{"className":4027},[764],[577,4029],{"className":4030,"style":760},[705],[577,4032,4034],{"className":4033},[648],"2∣",[577,4036,896],{"className":4037},[895],[577,4039,4041],{"className":4040},[657],[577,4042,4045],{"className":4043,"style":4044},[661],"height:0.93em;",[577,4046],{},[577,4048],{"className":4049},[1926,3926],[577,4051],{"className":4052,"style":706},[705],[577,4054,609],{"className":4055},[710],[577,4057],{"className":4058,"style":706},[705],[577,4060,4062,4066,4173,4176,4179],{"className":4061},[639],[577,4063],{"className":4064,"style":4065},[643],"height:2.2514em;vertical-align:-0.93em;",[577,4067,4069,4072,4170],{"className":4068},[648],[577,4070],{"className":4071},[1895,3926],[577,4073,4075],{"className":4074},[3839],[577,4076,4078,4162],{"className":4077},[653,861],[577,4079,4081,4159],{"className":4080},[657],[577,4082,4085,4140,4148],{"className":4083,"style":4084},[661],"height:1.3214em;",[577,4086,4087,4090],{"style":3942},[577,4088],{"className":4089,"style":669},[668],[577,4091,4093],{"className":4092},[648],[577,4094,4096],{"className":4095},[648,3153],[577,4097,4099,4132],{"className":4098},[653,861],[577,4100,4102,4129],{"className":4101},[657],[577,4103,4105,4117],{"className":4104,"style":3961},[661],[577,4106,4108,4111],{"className":4107,"style":664},[3167],[577,4109],{"className":4110,"style":669},[668],[577,4112,4114],{"className":4113,"style":3174},[648],[577,4115,2446],{"className":4116},[648],[577,4118,4119,4122],{"style":3976},[577,4120],{"className":4121,"style":669},[668],[577,4123,4125],{"className":4124,"style":3188},[3187],[690,4126,4127],{"xmlns":692,"width":3191,"height":3192,"viewBox":3193,"preserveAspectRatio":3194},[699,4128],{"d":3197},[577,4130,896],{"className":4131},[895],[577,4133,4135],{"className":4134},[657],[577,4136,4138],{"className":4137,"style":3996},[661],[577,4139],{},[577,4141,4142,4145],{"style":4001},[577,4143],{"className":4144,"style":669},[668],[577,4146],{"className":4147,"style":4009},[4008],[577,4149,4150,4153],{"style":4012},[577,4151],{"className":4152,"style":669},[668],[577,4154,4156],{"className":4155},[648],[577,4157,1763],{"className":4158},[648],[577,4160,896],{"className":4161},[895],[577,4163,4165],{"className":4164},[657],[577,4166,4168],{"className":4167,"style":4044},[661],[577,4169],{},[577,4171],{"className":4172},[1926,3926],[577,4174],{"className":4175,"style":706},[705],[577,4177,3867],{"className":4178},[710],[577,4180],{"className":4181,"style":706},[705],[577,4183,4185,4189,4192,4198],{"className":4184},[639],[577,4186],{"className":4187,"style":4188},[643],"height:0.8389em;vertical-align:-0.1944em;",[577,4190,1493],{"className":4191},[648],[577,4193,4195],{"className":4194},[648],[577,4196,1751],{"className":4197},[1822],[577,4199,4201],{"className":4200},[648],"603",[564,4203,4204,4205,4233,4234,4514,4515,4632,4633,967,4716,4744,4745,810],{},"Über die Hilfsebene: Durch ",[577,4206,4208,4221],{"className":4207},[580],[577,4209,4211],{"className":4210},[584],[586,4212,4213],{"xmlns":588},[590,4214,4215,4219],{},[593,4216,4217],{},[600,4218,982],{},[628,4220,982],{"encoding":630},[577,4222,4224],{"className":4223,"ariaHidden":598},[635],[577,4225,4227,4230],{"className":4226},[639],[577,4228],{"className":4229,"style":994},[643],[577,4231,982],{"className":4232,"style":794},[648,673]," geht ",[577,4235,4237,4294],{"className":4236},[580],[577,4238,4240],{"className":4239},[584],[586,4241,4242],{"xmlns":588},[590,4243,4244,4291],{},[593,4245,4246,4249,4251,4253,4255,4257,4259,4261,4263,4270,4272,4278,4280,4286,4288],{},[600,4247,4248],{},"H",[705,4250],{},[705,4252],{"width":1718},[604,4254],{"lspace":1721,"rspace":1722},[1724,4256,1726],{},[604,4258,1729],{"lspace":1721,"rspace":1721},[705,4260],{"width":1732},[1491,4262,2042],{},[4264,4265,4266,4268],"msub",{},[600,4267,1737],{},[1491,4269,1748],{},[604,4271,835],{},[4264,4273,4274,4276],{},[600,4275,1737],{},[1491,4277,1763],{},[604,4279,1769],{},[4264,4281,4282,4284],{},[600,4283,1737],{},[1491,4285,2042],{},[604,4287,609],{},[1491,4289,4290],{},"5",[628,4292,4293],{"encoding":630},"H\\colon 3x_1 - x_2 + x_3 = 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als Abstand der Geraden nehmen. Er ist meist größer.",[5084,5539,5540,5541,810],{},"Die Formel bei parallelen Geraden anwenden. 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