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Die drei Punkte dürfen dabei nicht auf einer Geraden liegen.",[564,1453,1454,1455,1458,1459,1645],{},"Für viele Rechnungen (Abstand, Schnittwinkel, Lage von Punkten) ist die ",[568,1456,1457],{},"Koordinatenform"," praktischer. Man kommt zu ihr über einen Normalenvektor, z.B. ",[583,1460,1462,1498],{"className":1461},[586],[583,1463,1465],{"className":1464},[590],[592,1466,1467],{"xmlns":594},[596,1468,1469,1495],{},[599,1470,1471,1478,1480,1486,1489],{},[602,1472,1473,1476],{"accent":604},[606,1474,1475],{},"n",[609,1477,611],{},[609,1479,1058],{},[602,1481,1482,1484],{"accent":604},[606,1483,756],{},[609,1485,611],{},[609,1487,1488],{},"×",[602,1490,1491,1493],{"accent":604},[606,1492,824],{},[609,1494,611],{},[613,1496,1497],{"encoding":615},"\\vec{n} = \\vec{u} \\times \\vec{v}",[583,1499,1501,1551,1604],{"className":1500,"ariaHidden":604},[620],[583,1502,1504,1507,1542,1545,1548],{"className":1503},[624],[583,1505],{"className":1506,"style":648},[628],[583,1508,1510],{"className":1509},[633,634],[583,1511,1513],{"className":1512},[638],[583,1514,1516],{"className":1515},[643],[583,1517,1519,1527],{"className":1518,"style":648},[647],[583,1520,1521,1524],{"style":651},[583,1522],{"className":1523,"style":656},[655],[583,1525,1475],{"className":1526},[633,660],[583,1528,1529,1532],{"style":651},[583,1530],{"className":1531,"style":656},[655],[583,1533,1535],{"className":1534,"style":1170},[669],[583,1536,1538],{"className":1537,"style":675},[674],[677,1539,1540],{"xmlns":679,"width":680,"height":681,"style":682,"viewBox":683,"preserveAspectRatio":684},[686,1541],{"d":688},[583,1543],{"className":1544,"style":1128},[1127],[583,1546,1058],{"className":1547},[1132],[583,1549],{"className":1550,"style":1128},[1127],[583,1552,1554,1558,1593,1597,1601],{"className":1553},[624],[583,1555],{"className":1556,"style":1557},[628],"height:0.7973em;vertical-align:-0.0833em;",[583,1559,1561],{"className":1560},[633,634],[583,1562,1564],{"className":1563},[638],[583,1565,1567],{"className":1566},[643],[583,1568,1570,1578],{"className":1569,"style":648},[647],[583,1571,1572,1575],{"style":651},[583,1573],{"className":1574,"style":656},[655],[583,1576,756],{"className":1577},[633,660],[583,1579,1580,1583],{"style":651},[583,1581],{"className":1582,"style":656},[655],[583,1584,1586],{"className":1585,"style":799},[669],[583,1587,1589],{"className":1588,"style":675},[674],[677,1590,1591],{"xmlns":679,"width":680,"height":681,"style":682,"viewBox":683,"preserveAspectRatio":684},[686,1592],{"d":688},[583,1594],{"className":1595,"style":1596},[1127],"margin-right:0.2222em;",[583,1598,1488],{"className":1599},[1600],"mbin",[583,1602],{"className":1603,"style":1596},[1127],[583,1605,1607,1610],{"className":1606},[624],[583,1608],{"className":1609,"style":648},[628],[583,1611,1613],{"className":1612},[633,634],[583,1614,1616],{"className":1615},[638],[583,1617,1619],{"className":1618},[643],[583,1620,1622,1630],{"className":1621,"style":648},[647],[583,1623,1624,1627],{"style":651},[583,1625],{"className":1626,"style":656},[655],[583,1628,824],{"className":1629,"style":859},[633,660],[583,1631,1632,1635],{"style":651},[583,1633],{"className":1634,"style":656},[655],[583,1636,1638],{"className":1637,"style":799},[669],[583,1639,1641],{"className":1640,"style":675},[674],[677,1642,1643],{"xmlns":679,"width":680,"height":681,"style":682,"viewBox":683,"preserveAspectRatio":684},[686,1644],{"d":688},".",[559,1647,1649],{"id":1648},"beispiele","Beispiele",[564,1651,1652,1653,976,1752,807,1841,1930,1931,807,2077,2224],{},"Ebene durch ",[583,1654,1656,1692],{"className":1655},[586],[583,1657,1659],{"className":1658},[590],[592,1660,1661],{"xmlns":594},[596,1662,1663,1689],{},[599,1664,1665,1667,1671,1675,1678,1681,1683,1686],{},[606,1666,961],{},[609,1668,1670],{"stretchy":1669},"false","(",[1672,1673,1674],"mn",{},"1",[609,1676,1677],{},"∣",[1672,1679,1680],{},"0",[609,1682,1677],{},[1672,1684,1685],{},"2",[609,1687,1688],{"stretchy":1669},")",[613,1690,1691],{"encoding":615},"A(1 \\mid 0 \\mid 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Spannvektoren sind nicht parallel: Wäre ",[583,2995,2997,3028],{"className":2996},[586],[583,2998,3000],{"className":2999},[590],[592,3001,3002],{"xmlns":594},[596,3003,3004,3025],{},[599,3005,3006,3012,3014,3017,3019],{},[602,3007,3008,3010],{"accent":604},[606,3009,756],{},[609,3011,611],{},[609,3013,1058],{},[606,3015,3016],{},"k",[609,3018,2317],{},[602,3020,3021,3023],{"accent":604},[606,3022,824],{},[609,3024,611],{},[613,3026,3027],{"encoding":615},"\\vec{u} = k \\cdot 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müsste wegen der dritten Koordinate ",[583,3144,3146,3168],{"className":3145},[586],[583,3147,3149],{"className":3148},[590],[592,3150,3151],{"xmlns":594},[596,3152,3153,3165],{},[599,3154,3155,3157,3159,3161,3163],{},[1672,3156,1680],{},[609,3158,1058],{},[606,3160,3016],{},[609,3162,2317],{},[1672,3164,1770],{},[613,3166,3167],{"encoding":615},"0 = k \\cdot 3",[583,3169,3171,3190,3208],{"className":3170,"ariaHidden":604},[620],[583,3172,3174,3178,3181,3184,3187],{"className":3173},[624],[583,3175],{"className":3176,"style":3177},[628],"height:0.6444em;",[583,3179,1680],{"className":3180},[633],[583,3182],{"className":3183,"style":1128},[1127],[583,3185,1058],{"className":3186},[1132],[583,3188],{"className":3189,"style":1128},[1127],[583,3191,3193,3196,3199,3202,3205],{"className":3192},[624],[583,3194],{"className":3195,"style":3087},[628],[583,3197,3016],{"className":3198,"style":3091},[633,660],[583,3200],{"className":3201,"style":1596},[1127],[583,3203,2317],{"className":3204},[1600],[583,3206],{"className":3207,"style":1596},[1127],[583,3209,3211,3214],{"className":3210},[624],[583,3212],{"className":3213,"style":3177},[628],[583,3215,1770],{"className":3216},[633],", also ",[583,3219,3221,3239],{"className":3220},[586],[583,3222,3224],{"className":3223},[590],[592,3225,3226],{"xmlns":594},[596,3227,3228,3236],{},[599,3229,3230,3232,3234],{},[606,3231,3016],{},[609,3233,1058],{},[1672,3235,1680],{},[613,3237,3238],{"encoding":615},"k = 0",[583,3240,3242,3260],{"className":3241,"ariaHidden":604},[620],[583,3243,3245,3248,3251,3254,3257],{"className":3244},[624],[583,3246],{"className":3247,"style":3087},[628],[583,3249,3016],{"className":3250,"style":3091},[633,660],[583,3252],{"className":3253,"style":1128},[1127],[583,3255,1058],{"className":3256},[1132],[583,3258],{"className":3259,"style":1128},[1127],[583,3261,3263,3266],{"className":3262},[624],[583,3264],{"className":3265,"style":3177},[628],[583,3267,1680],{"className":3268},[633]," sein. Dann wäre aber auch die erste Koordinate ",[583,3271,3273,3286],{"className":3272},[586],[583,3274,3276],{"className":3275},[590],[592,3277,3278],{"xmlns":594},[596,3279,3280,3284],{},[599,3281,3282],{},[1672,3283,1680],{},[613,3285,1680],{"encoding":615},[583,3287,3289],{"className":3288,"ariaHidden":604},[620],[583,3290,3292,3295],{"className":3291},[624],[583,3293],{"className":3294,"style":3177},[628],[583,3296,1680],{"className":3297},[633]," statt ",[583,3300,3302,3315],{"className":3301},[586],[583,3303,3305],{"className":3304},[590],[592,3306,3307],{"xmlns":594},[596,3308,3309,3313],{},[599,3310,3311],{},[1672,3312,1685],{},[613,3314,1685],{"encoding":615},[583,3316,3318],{"className":3317,"ariaHidden":604},[620],[583,3319,3321,3324],{"className":3320},[624],[583,3322],{"className":3323,"style":3177},[628],[583,3325,1685],{"className":3326},[633],[564,3328,3329,3330,807,3381,3432,3433,3725,3726,3754],{},"Mit 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1",[583,3403,3405,3423],{"className":3404,"ariaHidden":604},[620],[583,3406,3408,3411,3414,3417,3420],{"className":3407},[624],[583,3409],{"className":3410,"style":905},[628],[583,3412,924],{"className":3413},[633,660],[583,3415],{"className":3416,"style":1128},[1127],[583,3418,1058],{"className":3419},[1132],[583,3421],{"className":3422,"style":1128},[1127],[583,3424,3426,3429],{"className":3425},[624],[583,3427],{"className":3428,"style":3177},[628],[583,3430,1674],{"className":3431},[633]," erhält man den Punkt ",[583,3434,3436,3502],{"className":3435},[586],[583,3437,3439],{"className":3438},[590],[592,3440,3441],{"xmlns":594},[596,3442,3443,3499],{},[599,3444,3445,3447,3449,3451,3453,3455,3457,3459,3461,3463,3465,3467,3469,3471,3473,3475,3477,3479,3481,3483,3485,3487,3489,3491,3493,3495,3497],{},[609,3446,1670],{"stretchy":1669},[1672,3448,1674],{},[609,3450,2312],{},[1672,3452,1685],{},[609,3454,2105],{},[1672,3456,1674],{},[609,3458,1677],{},[1672,3460,1680],{},[609,3462,2312],{},[1672,3464,1674],{},[609,3466,2312],{},[1672,3468,1685],{},[609,3470,1677],{},[1672,3472,1685],{},[609,3474,2312],{},[1672,3476,1680],{},[609,3478,2312],{},[1672,3480,1770],{},[609,3482,1688],{"stretchy":1669},[609,3484,1058],{},[609,3486,1670],{"stretchy":1669},[1672,3488,1685],{},[609,3490,1677],{},[1672,3492,1770],{},[609,3494,1677],{},[1672,3496,1867],{},[609,3498,1688],{"stretchy":1669},[613,3500,3501],{"encoding":615},"(1 + 2 - 1 \\mid 0 + 1 + 2 \\mid 2 + 0 + 3) = (2 \\mid 3 \\mid 5)",[583,3503,3505,3526,3545,3563,3581,3599,3617,3635,3653,3674,3695,3713],{"className":3504,"ariaHidden":604},[620],[583,3506,3508,3511,3514,3517,3520,3523],{"className":3507},[624],[583,3509],{"className":3510,"style":1701},[628],[583,3512,1670],{"className":3513},[1708],[583,3515,1674],{"className":3516},[633],[583,3518],{"className":3519,"style":1596},[1127],[583,3521,2312],{"className":3522},[1600],[583,3524],{"className":3525,"style":1596},[1127],[583,3527,3529,3533,3536,3539,3542],{"className":3528},[624],[583,3530],{"className":3531,"style":3532},[628],"height:0.7278em;vertical-align:-0.0833em;",[583,3534,1685],{"className":3535},[633],[583,3537],{"className":3538,"style":1596},[1127],[583,3540,2105],{"className":3541},[1600],[583,3543],{"className":3544,"style":1596},[1127],[583,3546,3548,3551,3554,3557,3560],{"className":3547},[624],[583,3549],{"className":3550,"style":1701},[628],[583,3552,1674],{"className":3553},[633],[583,3555],{"className":3556,"style":1128},[1127],[583,3558,1677],{"className":3559},[1132],[583,3561],{"className":3562,"style":1128},[1127],[583,3564,3566,3569,3572,3575,3578],{"className":3565},[624],[583,3567],{"className":3568,"style":3532},[628],[583,3570,1680],{"className":3571},[633],[583,3573],{"className":3574,"style":1596},[1127],[583,3576,2312],{"className":3577},[1600],[583,3579],{"className":3580,"style":1596},[1127],[583,3582,3584,3587,3590,3593,3596],{"className":3583},[624],[583,3585],{"className":3586,"style":3532},[628],[583,3588,1674],{"className":3589},[633],[583,3591],{"className":3592,"style":1596},[1127],[583,3594,2312],{"className":3595},[1600],[583,3597],{"className":3598,"style":1596},[1127],[583,3600,3602,3605,3608,3611,3614],{"className":3601},[624],[583,3603],{"className":3604,"style":1701},[628],[583,3606,1685],{"className":3607},[633],[583,3609],{"className":3610,"style":1128},[1127],[583,3612,1677],{"className":3613},[1132],[583,3615],{"className":3616,"style":1128},[1127],[583,3618,3620,3623,3626,3629,3632],{"className":3619},[624],[583,3621],{"className":3622,"style":3532},[628],[583,3624,1685],{"className":3625},[633],[583,3627],{"className":3628,"style":1596},[1127],[583,3630,2312],{"className":3631},[1600],[583,3633],{"className":3634,"style":1596},[1127],[583,3636,3638,3641,3644,3647,3650],{"className":3637},[624],[583,3639],{"className":3640,"style":3532},[628],[583,3642,1680],{"className":3643},[633],[583,3645],{"className":3646,"style":1596},[1127],[583,3648,2312],{"className":3649},[1600],[583,3651],{"className":3652,"style":1596},[1127],[583,3654,3656,3659,3662,3665,3668,3671],{"className":3655},[624],[583,3657],{"className":3658,"style":1701},[628],[583,3660,1770],{"className":3661},[633],[583,3663,1688],{"className":3664},[1751],[583,3666],{"className":3667,"style":1128},[1127],[583,3669,1058],{"className":3670},[1132],[583,3672],{"className":3673,"style":1128},[1127],[583,3675,3677,3680,3683,3686,3689,3692],{"className":3676},[624],[583,3678],{"className":3679,"style":1701},[628],[583,3681,1670],{"className":3682},[1708],[583,3684,1685],{"className":3685},[633],[583,3687],{"className":3688,"style":1128},[1127],[583,3690,1677],{"className":3691},[1132],[583,3693],{"className":3694,"style":1128},[1127],[583,3696,3698,3701,3704,3707,3710],{"className":3697},[624],[583,3699],{"className":3700,"style":1701},[628],[583,3702,1770],{"className":3703},[633],[583,3705],{"className":3706,"style":1128},[1127],[583,3708,1677],{"className":3709},[1132],[583,3711],{"className":3712,"style":1128},[1127],[583,3714,3716,3719,3722],{"className":3715},[624],[583,3717],{"className":3718,"style":1701},[628],[583,3720,1867],{"className":3721},[633],[583,3723,1688],{"className":3724},[1751],", der ebenfalls in ",[583,3727,3729,3742],{"className":3728},[586],[583,3730,3732],{"className":3731},[590],[592,3733,3734],{"xmlns":594},[596,3735,3736,3740],{},[599,3737,3738],{},[606,3739,2244],{},[613,3741,2244],{"encoding":615},[583,3743,3745],{"className":3744,"ariaHidden":604},[620],[583,3746,3748,3751],{"className":3747},[624],[583,3749],{"className":3750,"style":730},[628],[583,3752,2244],{"className":3753,"style":2407},[633,660]," liegt.",[559,3756,3758],{"id":3757},"typische-fehler","Typische Fehler",[573,3760,3761,3967,4197],{},[576,3762,3763,3764,807,3792,3820,3821,807,3894,1645],{},"Ortsvektoren von ",[583,3765,3767,3780],{"className":3766},[586],[583,3768,3770],{"className":3769},[590],[592,3771,3772],{"xmlns":594},[596,3773,3774,3778],{},[599,3775,3776],{},[606,3777,991],{},[613,3779,991],{"encoding":615},[583,3781,3783],{"className":3782,"ariaHidden":604},[620],[583,3784,3786,3789],{"className":3785},[624],[583,3787],{"className":3788,"style":730},[628],[583,3790,991],{"className":3791,"style":1006},[633,660],[583,3793,3795,3808],{"className":3794},[586],[583,3796,3798],{"className":3797},[590],[592,3799,3800],{"xmlns":594},[596,3801,3802,3806],{},[599,3803,3804],{},[606,3805,1021],{},[613,3807,1021],{"encoding":615},[583,3809,3811],{"className":3810,"ariaHidden":604},[620],[583,3812,3814,3817],{"className":3813},[624],[583,3815],{"className":3816,"style":730},[628],[583,3818,1021],{"className":3819,"style":1036},[633,660]," als Spannvektoren nehmen. Richtig sind die Verbindungsvektoren ",[583,3822,3824,3846],{"className":3823},[586],[583,3825,3827],{"className":3826},[590],[592,3828,3829],{"xmlns":594},[596,3830,3831,3843],{},[599,3832,3833],{},[602,3834,3835,3841],{"accent":604},[599,3836,3837,3839],{},[606,3838,961],{},[606,3840,991],{},[609,3842,1208],{"stretchy":604},[613,3844,3845],{"encoding":615},"\\overrightarrow{AB}",[583,3847,3849],{"className":3848,"ariaHidden":604},[620],[583,3850,3852,3855],{"className":3851},[624],[583,3853],{"className":3854,"style":1271},[628],[583,3856,3858],{"className":3857},[633,634],[583,3859,3861],{"className":3860},[638],[583,3862,3864],{"className":3863},[643],[583,3865,3867,3881],{"className":3866,"style":1271},[647],[583,3868,3869,3872],{"style":651},[583,3870],{"className":3871,"style":656},[655],[583,3873,3875,3878],{"className":3874},[633],[583,3876,961],{"className":3877},[633,660],[583,3879,991],{"className":3880,"style":1006},[633,660],[583,3882,3884,3887],{"className":3883,"style":1302},[1301],[583,3885],{"className":3886,"style":656},[655],[583,3888,3890],{"className":3889,"style":1310},[1309],[677,3891,3892],{"xmlns":679,"width":1313,"height":1314,"viewBox":1315,"preserveAspectRatio":1316},[686,3893],{"d":1319},[583,3895,3897,3919],{"className":3896},[586],[583,3898,3900],{"className":3899},[590],[592,3901,3902],{"xmlns":594},[596,3903,3904,3916],{},[599,3905,3906],{},[602,3907,3908,3914],{"accent":604},[599,3909,3910,3912],{},[606,3911,961],{},[606,3913,1021],{},[609,3915,1208],{"stretchy":604},[613,3917,3918],{"encoding":615},"\\overrightarrow{AC}",[583,3920,3922],{"className":3921,"ariaHidden":604},[620],[583,3923,3925,3928],{"className":3924},[624],[583,3926],{"className":3927,"style":1271},[628],[583,3929,3931],{"className":3930},[633,634],[583,3932,3934],{"className":3933},[638],[583,3935,3937],{"className":3936},[643],[583,3938,3940,3954],{"className":3939,"style":1271},[647],[583,3941,3942,3945],{"style":651},[583,3943],{"className":3944,"style":656},[655],[583,3946,3948,3951],{"className":3947},[633],[583,3949,961],{"className":3950},[633,660],[583,3952,1021],{"className":3953,"style":1036},[633,660],[583,3955,3957,3960],{"className":3956,"style":1302},[1301],[583,3958],{"className":3959,"style":656},[655],[583,3961,3963],{"className":3962,"style":1310},[1309],[677,3964,3965],{"xmlns":679,"width":1313,"height":1314,"viewBox":1315,"preserveAspectRatio":1316},[686,3966],{"d":1319},[576,3968,3969,3970,4196],{},"Für beide Spannvektoren denselben Parameter verwenden. ",[583,3971,3973,4016],{"className":3972},[586],[583,3974,3976],{"className":3975},[590],[592,3977,3978],{"xmlns":594},[596,3979,3980,4013],{},[599,3981,3982,3988,3990,3993,3995,3997,4003,4005,4011],{},[602,3983,3984,3986],{"accent":604},[606,3985,564],{},[609,3987,611],{},[609,3989,2312],{},[606,3991,3992],{},"t",[609,3994,2317],{},[609,3996,1670],{"stretchy":1669},[602,3998,3999,4001],{"accent":604},[606,4000,756],{},[609,4002,611],{},[609,4004,2312],{},[602,4006,4007,4009],{"accent":604},[606,4008,824],{},[609,4010,611],{},[609,4012,1688],{"stretchy":1669},[613,4014,4015],{"encoding":615},"\\vec{p} + t \\cdot (\\vec{u} + \\vec{v})",[583,4017,4019,4080,4099,4152],{"className":4018,"ariaHidden":604},[620],[583,4020,4022,4025,4071,4074,4077],{"className":4021},[624],[583,4023],{"className":4024,"style":629},[628],[583,4026,4028],{"className":4027},[633,634],[583,4029,4031,4063],{"className":4030},[638,639],[583,4032,4034,4060],{"className":4033},[643],[583,4035,4037,4045],{"className":4036,"style":648},[647],[583,4038,4039,4042],{"style":651},[583,4040],{"className":4041,"style":656},[655],[583,4043,564],{"className":4044},[633,660],[583,4046,4047,4050],{"style":651},[583,4048],{"className":4049,"style":656},[655],[583,4051,4053],{"className":4052,"style":670},[669],[583,4054,4056],{"className":4055,"style":675},[674],[677,4057,4058],{"xmlns":679,"width":680,"height":681,"style":682,"viewBox":683,"preserveAspectRatio":684},[686,4059],{"d":688},[583,4061,693],{"className":4062},[692],[583,4064,4066],{"className":4065},[643],[583,4067,4069],{"className":4068,"style":700},[647],[583,4070],{},[583,4072],{"className":4073,"style":1596},[1127],[583,4075,2312],{"className":4076},[1600],[583,4078],{"className":4079,"style":1596},[1127],[583,4081,4083,4087,4090,4093,4096],{"className":4082},[624],[583,4084],{"className":4085,"style":4086},[628],"height:0.6151em;",[583,4088,3992],{"className":4089},[633,660],[583,4091],{"className":4092,"style":1596},[1127],[583,4094,2317],{"className":4095},[1600],[583,4097],{"className":4098,"style":1596},[1127],[583,4100,4102,4105,4108,4143,4146,4149],{"className":4101},[624],[583,4103],{"className":4104,"style":1701},[628],[583,4106,1670],{"className":4107},[1708],[583,4109,4111],{"className":4110},[633,634],[583,4112,4114],{"className":4113},[638],[583,4115,4117],{"className":4116},[643],[583,4118,4120,4128],{"className":4119,"style":648},[647],[583,4121,4122,4125],{"style":651},[583,4123],{"className":4124,"style":656},[655],[583,4126,756],{"className":4127},[633,660],[583,4129,4130,4133],{"style":651},[583,4131],{"className":4132,"style":656},[655],[583,4134,4136],{"className":4135,"style":799},[669],[583,4137,4139],{"className":4138,"style":675},[674],[677,4140,4141],{"xmlns":679,"width":680,"height":681,"style":682,"viewBox":683,"preserveAspectRatio":684},[686,4142],{"d":688},[583,4144],{"className":4145,"style":1596},[1127],[583,4147,2312],{"className":4148},[1600],[583,4150],{"className":4151,"style":1596},[1127],[583,4153,4155,4158,4193],{"className":4154},[624],[583,4156],{"className":4157,"style":1701},[628],[583,4159,4161],{"className":4160},[633,634],[583,4162,4164],{"className":4163},[638],[583,4165,4167],{"className":4166},[643],[583,4168,4170,4178],{"className":4169,"style":648},[647],[583,4171,4172,4175],{"style":651},[583,4173],{"className":4174,"style":656},[655],[583,4176,824],{"className":4177,"style":859},[633,660],[583,4179,4180,4183],{"style":651},[583,4181],{"className":4182,"style":656},[655],[583,4184,4186],{"className":4185,"style":799},[669],[583,4187,4189],{"className":4188,"style":675},[674],[677,4190,4191],{"xmlns":679,"width":680,"height":681,"style":682,"viewBox":683,"preserveAspectRatio":684},[686,4192],{"d":688},[583,4194,1688],{"className":4195},[1751]," ist nur eine Gerade.",[576,4198,4199],{},"Drei Punkte auf einer Geraden verwenden. Dann sind die Spannvektoren parallel, und es entsteht keine Ebene.",{"title":4201,"searchDepth":4202,"depth":4202,"links":4203},"",2,[4204,4205,4206],{"id":561,"depth":4202,"text":562},{"id":1648,"depth":4202,"text":1649},{"id":3757,"depth":4202,"text":3758},[4208,4210,4212,4214,4217,4219,4221,4223,4225],{"lhs":4209,"rhs":1685},"3 - 1",{"lhs":4211,"rhs":1674},"1 - 0",{"lhs":4213,"rhs":1680},"2 - 2",{"lhs":4215,"rhs":4216},"0 - 1","-1",{"lhs":4218,"rhs":1685},"2 - 0",{"lhs":4220,"rhs":1770},"5 - 2",{"lhs":4222,"rhs":1685},"1 + 1*2 + 1*(-1)",{"lhs":4224,"rhs":1770},"0 + 1*1 + 1*2",{"lhs":4226,"rhs":1867},"2 + 1*0 + 1*3","\\vec{u}, \\vec{v} \\text{ linear unabhängig},\\ r, s \\in \\mathbb{R}","\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 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