Задача № 2.
Определить
коллинеарны ли векторы
, построенные на векторах
.
|
№ п/п |
|
|
|
|
|
2.1 |
(1, -2, 3) |
(3, 0, -1) |
|
|
|
2.2 |
(1, 0, -1) |
(-2, 3, 5) |
|
|
|
2.3 |
(-2, 4, 1) |
(1, -2, 7) |
|
|
|
2.4 |
(1, 2, -3) |
(2, -1, -1) |
|
|
|
2.5 |
(3, 5, 4) |
(5, 9, 7) |
|
|
|
2.6 |
(1, 4, -2) |
(1, 1, -1) |
|
|
|
2.7 |
(1, -2, 5) |
(3, -1, 0) |
|
|
|
2.8 |
(3, 4, -1) |
(2, -1, 1) |
|
|
|
2.9 |
(2, -3, -2) |
(1, 0, 5) |
|
|
|
2.10 |
(-1, 4, 2) |
(3, -2, 6) |
|
|
|
2.11 |
(5, 0, -1) |
(7, 2, 3) |
|
|
|
2.12 |
(0, 3, -2) |
(1, -2, 1) |
|
|
|
2.13 |
(-2, 7, -1) |
(-3, 5, 2) |
|
|
|
2.14 |
(3, 7, 0) |
(1, -3, 4) |
|
|
|
2.15 |
(-1, 2, -1) |
(2, -7, 1) |
|
|
|
2.16 |
(7, 9, -2) |
(5, 4, 3) |
|
|
|
2.17 |
(5, 0, -2) |
(6, 4, 3) |
|
|
|
2.18 |
(8, 3, -1) |
(4, 1, 3) |
|
|
|
2.19 |
(3, -1, 6) |
(5, 7, 10) |
|
|
|
2.20 |
(1, -2, 4) |
(7, 3, 5) |
|
|
|
2.21 |
(3, 7, 0) |
(4, 6, -1) |
|
|
|
2.22 |
(2, -1, 4) |
(3, -7, -6) |
|
|
|
2.23 |
(5, -1, -2) |
(6, 0, 7) |
|
|
|
2.24 |
(-9, 5, 3) |
(7, 1, -2) |
|
|
|
2.25 |
(4, 2, 9) |
(0, -1, 3) |
|
|
|
2.26 |
(2, -1, 6) |
(-1, 3, 8) |
|
|
|
2.27 |
(5, 0, 8) |
(-3, 1, 7) |
|
|
|
2.28 |
(-1, 3, 4) |
(2, -1, 0) |
|
|
|
2.29 |
(4, 2, -7) |
(5, 0, -3) |
|
|
|
2.30 |
(2, 0, -5) |
(1, -3, 4) |
|
|
Задача № 3.
Найти косинус угла
между векторами
.
|
№ п/п |
|
|
|
|
3.1 |
(6, 5, 1) |
(0, 1, 2) |
(2, 1, 0) |
|
3.2 |
(5, 4, 2) |
(1, 2, 3) |
(3, 2, 1) |
|
3.3 |
(2, 0, 4) |
(1, 1, 1) |
(3, 2, 1) |
|
3.4 |
(1, 2, 3) |
(2, -1, 0) |
(3, 2, 1) |
|
3.5 |
(1, -1, 2) |
(5, -6, 2) |
(2, 3, -1) |
|
3.6 |
(3, -3, 1) |
(-3, -2, 0) |
(5, 0, 2) |
|
3.7 |
(4, 2, 1) |
(0, 4, 5) |
(1, 2, 7) |
|
3.8 |
(1, 0, 2) |
(2, 4, 3) |
(1, 7, 1) |
|
3.9 |
(5, -1, 3) |
(2, 0, 1) |
(3, 1, -1) |
|
3.10 |
(0, 8, 1) |
(2, 1, 1) |
(-1, 4, 5) |
|
3.11 |
(1, 0, 4) |
(0, 2, 3) |
(-1, 1, 0) |
|
3.12 |
(2, 3, 4) |
(3, 4, 5) |
(-4, 5, 6) |
|
3.13 |
(1, -2, 3) |
(0, -1, 2) |
(3, -4, 5) |
|
3.14 |
(0, -3, 6) |
(-12, -3, -3) |
(-9, -3, -6) |
|
3.15 |
(3, 3, -1) |
(5, 5, -2) |
(4, 1, 1) |
|
3.16 |
(-1, 2, -3) |
(3, 4, -6) |
(1, 1, -1) |
|
3.17 |
(-4, -2, 0) |
(-1, -2, 4) |
(3, -2, 1) |
|
3.18 |
(5, 3, -1) |
(5, 2, 0) |
(6, 4, -1) |
|
3.19 |
(-3, -7, -6) |
(0, -1, -2) |
(2, 3, 0) |
|
3.20 |
(2, -4, 6) |
(0, -2, 4) |
(6, -8, 10) |
|
3.21 |
(0, 1, -2) |
(3, 1, 2) |
(4, 1, 1) |
|
3.22 |
(3, 3, -1) |
(1, 5, -2) |
(4, 1, 1) |
|
3.23 |
(2, 1, -1) |
(6, -1, -4) |
(4, 2, 1) |
|
3.24 |
(-1, -2, 1) |
(-4, -2, 5) |
(-8, -2, 2) |
|
3.25 |
(6, 2, -3) |
(6, 3, -2) |
(7, 3, -3) |
|
3.26 |
(0, 0, 4) |
(-3, -6, 1) |
(-5, -10, -1) |
|
3.27 |
(2, -8, -1) |
(4, -6, 0) |
(-2, -5, -1) |
|
3.28 |
(3, -6, 9) |
(0, 3, 6) |
(9, -12, 15) |
|
3.29 |
(0, 2, -4) |
(8, 2, 2) |
(6, 2, 4) |
|
3.30 |
(3, 3, -1) |
(5, 1, -2) |
(4, 1, 1) |
