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) |
Задача № 4.
Определить направляющие косинусы вектора силы . Найти момент силы , приложенной в точке , относительно точки .
№ п/п |
|
|
|
4.1 |
(3, 3, 3) |
(3, -1, 5) |
(4, -2, 3) |
4.2 |
(4, 4, 4) |
(4, -2, 5) |
(5, -3, 3) |
4.3 |
(8, -8, 8) |
(10, -8, 1) |
(9, -7, 3) |
4.4 |
(-2, 2, -2) |
(11, -9, 1) |
(10, -8, 3) |
4.5 |
(5, 5, 5) |
(5, -3, 5) |
(6, -4, 3) |
4.6 |
(-3, 3, -3) |
(12, -10, 1) |
(11, -9, 3) |
4.7 |
(6, 6, 6) |
(6, -4, 5) |
(7, -5, 3) |
4.8 |
(-4, 4, -4) |
(13, -11, 1) |
(12, -10, 3) |
4.9 |
(7, 7, 7) |
(7, -5, 5) |
(8, -6, 3) |
4.10 |
(-5, 5, -5) |
(14, -12, 1) |
(13, -11, 3) |
4.11 |
(-1, -1, 1) |
(8, -6, -5) |
(9, -7, 3) |
4.12 |
(3, 3, -3) |
(0, 1, 2) |
(2, -1, -2) |
4.13 |
(-2, -2, -2) |
(9, -7, 5) |
(10, -8, 3) |
4.14 |
(4, 4, -4) |
(1, 0, 2) |
(3, 2, -2) |
4.15 |
(-3, -3, -3) |
(10, -8, 5) |
(11, -9, 3) |
4.16 |
(5, 5, -5) |
(2, -1, 2) |
(4, -3, 2) |
4.17 |
(-4, -4, -4) |
(11, -9, 5) |
(12, -10, 3) |
4.18 |
(6, 6, -6) |
(3, -2, 2) |
(5, -4, -2) |
4.19 |
(-5, -5, -5) |
(12, -10, 5) |
(13, -11, 3) |
4.20 |
(7, 7, -7) |
(4, -3, 2) |
(6, -5, -2) |
4.21 |
(3, -3, 3) |
(5, -3, 1) |
(4, -2, 3) |
4.22 |
(8, 8, -8) |
(5, -4, 2) |
(7, -6, -2) |
4.23 |
(4, -4, 4) |
(6, -4, 1) |
(5, -4, 3) |
4.24 |
(-2, -2, 2) |
(6, -5, 2) |
(8, -7, -2) |
4.25 |
(5, -5, 5) |
(7, -5, 1) |
(6, -4, 3) |
4.26 |
(-3, -3, 3) |
(7, -6, 2) |
(9, -8, 2) |
4.27 |
(6, -6, 6) |
(8, -6, 1) |
(7, -5, 3) |
4.28 |
(-4, -4, 4) |
(8, -7, 2) |
(10, -9, -2) |
4.29 |
(7, -7, 7) |
(9, -7, 1) |
(8, -6, 3) |
4.30 |
(-5, -5, 5) |
(9, -8, 2) |
(11, -10, 2) |