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) |
Задача № 5.
Вычислить площадь
параллелограмма, построенного на
векторах
и
.
|
№ п/п |
|
|
|
|
|
|
5.1 |
|
|
1 |
2 |
|
|
5.2 |
|
|
4 |
1 |
|
|
5.3 |
|
|
|
1 |
|
|
5.4 |
|
|
4 |
|
|
|
5.5 |
|
|
2 |
3 |
|
|
5.6 |
|
|
2 |
3 |
|
|
5.7 |
|
|
3 |
2 |
|
|
5.8 |
|
|
7 |
2 |
|
|
5.9 |
|
|
1 |
2 |
|
|
5.10 |
|
|
7 |
2 |
|
|
5.11 |
|
|
10 |
1 |
|
|
5.12 |
|
|
5 |
4 |
|
|
5.13 |
|
|
6 |
7 |
|
|
5.14 |
|
|
3 |
4 |
|
|
5.15 |
|
|
2 |
3 |
|
|
5.16 |
|
|
4 |
1 |
|
|
5.17 |
|
|
2 |
5 |
|
|
5.18 |
|
|
1 |
2 |
|
|
5.19 |
|
|
2 |
5 |
|
|
5.20 |
|
|
5 |
3 |
|
|
5.21 |
|
|
2 |
|
|
|
5.22 |
|
|
|
2 |
|
|
5.23 |
|
|
1 |
2 |
|
|
5.24 |
|
|
|
2 |
|
|
5.25 |
|
|
3 |
4 |
|
|
5.26 |
|
|
4 |
1 |
|
|
5.27 |
|
|
8 |
|
|
|
5.28 |
|
|
2,5 |
2 |
|
|
5.29 |
|
|
3 |
1 |
|
|
5.30 |
|
|
3 |
5 |
|
