| 1.
|  =(1,-2,0),
|  =(2,-4,-2)
|
| 2.
| =(9,-6,-11),
| =(-17, 7, 15)
|
| 3.
| =(-3, 5, -8),
| =(-1, 1, -4)
|
| 4.
| =(1, -3, 5),
| =(-11, 13, -10)
|
| 5.
| =(-4, 5, 1),
| =(-5, 13, 5)
|
| 6.
| =(6, -2,-2),
| =(-9, 8, 4)
|
| 7.
| =(4, 0, 8),
| =(8, -8, 16)
|
| 8.
| =(1, 3, -7),
| =(-2,-1, 5)
|
| 9.
| =(0, 10, -20),
| =(-10, 5, -10)
|
|
| =(4, 0, -1),
| =(-4, 4, -2)
|
| 11.
| =(-2, 0, 1),
| =(-4,-2, 2)
|
| 12.
| =(-6, -11, 9),
| =(7, 15, -17)
|
| 13.
| =(5, -8, -3),
| =(1,-4, -1)
|
| 14.
| =(-3, 5, 1),
| =(13, -10, -11)
|
| 15.
| =(5, 1, -4),
| =(13, 5, -5)
|
| 16.
| =(-2,-2, 6),
| =(8, 4, -9)
|
| 17.
| =(0, 8, 4),
| =(-8, 16, 8)
|
| 18.
| =(3,-7, 1),
| =(-1, 5,-2)
|
| 19.
| =(10,-20, 0),
| =(5,-10, -10)
|
| 20.
| =(0,-1, 4),
| =(4,-2,-4)
|
| 21.
| =(0, 1,-2),
| =(-2, 2,-4)
|
| 22.
| =(-11, 9,-6),
| =(15, -17, 7)
|
| 23.
| =(-8,-3, 5),
| =(-4,-1, 1)
|
| 24.
| =(5, 1,-3),
| =(-10,-11, 13)
|
| 25.
| =(1, -4, 5),
| =(5,-5, 13)
|
| 26.
| =(-2, 6, -2),
| =(4, -9, 8)
|
| 27.
| =(8, 4, 0),
| =(16, 8, -8)
|
| 28.
| =(-7, 1, 3),
| =(5, -2, -1)
|
| 29.
|  =(-20, 0, 10),
| =(-10,-10, 5)
|
| 30.
| =(-1, 4, 0),
| =(-2,-4, 4)
|
Вектор розкладено за базисом `i,,. Знайти розклад за цим базисом вектора `d, протилежно напрямленого до вектора `с, якщо відомий модуль вектора `d.
| 1.
|  =(-9; 3; -4,5),
|  21
| 2.
| =(1;-1,5; 3),
| 35
|
| 3.
| =(2;-4; -4),
| 3
| 4.
| =(-2; 1; 2),
| 39
|
| 5.
| = ( ; -5; 4)
| 25
| 6.
| =(1; 2; -2)
| 6
|
| 7.
| =(-1; 2; 2/3),
| 7
| 8.
| =(1,2; 3; -2)
| 19
|
| 9.
| =(16; -2; -8),
| 9
| 10.
| = (2, 0;-1,5),
| 10
|
| 11.
| = (-1;-1,5; 3),
| 21
| 12.
| = (-2; -4; 4)
| 12
|
| 13.
| = (-9; -12; 36),
| 13
| 14.
| =(2; 3; -6),
| 14
|
| 15.
| = (2; 2;-1),
| 15
| 16.
| = (10;  ;-5),
| 35
|
| 17.
| = (3; -1; 1,5),
| 7
| 18.
| = (1; -3; 1,5)
| 28
|
| 19.
| = (-30; 20; 12),
| 19
|
| = (-7,5;5;15),
| 35
|
| 21.
| = (3; -6, -2),
| 21
| 22.
| = (-2, -2; 1),
| 12
|
| 23.
| = (5; 2,5; -5),
| 15
| 24.
| = (2; 4;  ),
| 14
|
| 25.
| = (-3; -4;  ),
| 25
| 26.
| = (-3; 6; -2),
| 35
|
| 27.
| = (1; 1; -0,5),
| 6
| 28.
| = (-3; 2; -6),
| 28
|
| 29.
| = (5; -3; 7,5),
| 19
|
| =(0;-28; 21),
| 5
|
Дано чотири вектори: `. Якщо вектори утворюють базис, знайти розвинення вектора `m за цим базисом.
| 1.
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| 2.
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| 11.
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| 12.
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| 13.
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| 14.
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| 21.
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| 22.
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| 23.
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| 24.
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| 25.
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| 26.
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| 27.
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| 28.
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| 29.
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| 30.
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Знайти орт вектора.
| 1.
|  (12, 9, -8)
| 2.
| (12, -8, 24)
|
| 3.
| (0, 4,-3)
| 4.
| (3,4,-12)
|
| 5.
| (16, -8, 16)
| 6.
| (-15,-10, 30)
|
| 7.
| (15, 10, 6)
| 8.
| (-18, 6, 9)
|
| 9.
| (2, 9,-6)
| 10.
| (26, -13, -26)
|
| 11.
| (12, -16, 15)
| 12.
| (10, -10, 5)
|
| 13.
| (-12, 24, -3)
| 14.
| (2,-8, 16)
|
| 15.
| (-3, 18, 14)
| 16.
| (8, 4, -8)
|
| 17.
| (-30, 24, -32)
| 18.
| (12, 30, -20)
|
| 19.
| (4,-6, 12)
| 20.
| (2,-4,4)
|
| 21.
| (-8, 0, 6)
| 22.
| (12, -4, 18)
|
| 23.
| (16, -18, 24)
| 24.
| (28, -6, 36)
|
| 25.
| (2, -2, 1)
| 26.
| (1, 8;4)
|
| 27.
| (20, 0, 21)
| 28.
| (12, -16, 0)
|
| 29.
| (3, 6,-2)
| 30.
| (24, -8,-6)
|
