Задача №3.
Найти косинус угла
между векторами
и
.
|
№ n/n |
|
|
|
|
3.1. 3.2. 3.3. 3.4. 3.5. 3.6. 3.7. 3.8. 3.9. 3.10. 3.11. 3.12. 3.13. 3.14. 3.15. 3.16. 3.17. 3.18. 3.19. 3.20. 3.21. 3.22. 3.23. 3.24. 3.25. 3.26. 3.27. 3.28. 3.29. 3.30. |
(6, 5, 1) (5, 4, 2) (2, 0, 4) (1, 2, 3) (1, -1, 2) (3, -3, 1) (4, 2, 1) (1, 0, 2) (5, -1, 3) (0, 8, 1) (1, 0, 4) (2, 3, 4) (1, -2, 3) (0, -3, 6) (3, 3, -1) (-1, 2, -3) (-4, -2, 0) (5, 3, -1) (-3, -7, -6) (2, -4, 6) (0, 1, -2) (3, 3, -1) (2, 1, -1) (-1, -2, 1) (6, 2, -3) (0, 0, 4) (2, -8, -1) (3, -6, 9) (0, 2, -4) (3, 3, -1) |
(0, 1, 2) (1, 2, 3) (1, 1, 1) (2, -1, 0) (5, -6, 2) (-3, -2, 0) (0, 4, 5) (2, 4, 3) (2, 0, 1) (2, 1, 1) (0, 2, 3) (3, 4, 5) (0, -1, 2) (-12, -3, -3) (5, 5, -2) (3, 4, -6) (-1, -2, 4) (5, 2, 0) (0, -1, -2) (0, -2, 4) (3, 1, 2) (1, 5, -2) (6, -1, -4) (-4, -2, 5) (6, 3, -2) (-3, -6, 1) (4, -6, 0) (0, 3, 6) (8, 2, 2) (5, 1, -2) |
(2, 1, 0) (3, 2, 1) (3, 2, 1) (3, 2, 1) (2, 3, -1) (5, 0, 2) (1, 2, 7) (1, 7, 1) (3, 1, -1) (-1, 4, 5) (-1, 1, 0) (-4, 5, 6) (3, -4, 5) (-9, -3, -6) (4, 1, 1) (1, 1, -1) (3, -2, 1) (6, 4, -1) (2, 3, 0) (6, -8, 10) (4, 1, 1) (4, 1, 1) (4, 2, 1) (-8, -2, 2) (7, 3, -3) (-5, -10, -1) (-2, -5, -1) (9, -12, 15) (6, 2, 4) (4, 1, 1) |
Задача №4.
Определить
направляющие косинусы вектора силы
.
Найти момент силы
,
приложенной в точке
,
относительно точки
.
|
№ n/n |
|
|
|
|
4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. 4.8. 4.9. 4.10. 4.11. 4.12. 4.13. 4.14. 4.15. 4.16. 4.17. 4.18. 4.19. 4.20. 4.21. 4.22. 4.23. 4.24. 4.25. 4.26. 4.27. 4.28. 4.29. 4.30. |
(3, 3, 3) (4, 4, 4) (8, -8, 8) (-2, 2, -2) (5, 5, 5) (-3, 3, -3) (6, 6, 6) (-4, 4, -4) (7, 7, 7) (-5, 5, -5) (-1, -1, 1) (3, 3, -3) (-2, -2, -2) (4, 4, -4) (-3, -3, -3) (5, 5, -5) (-4, -4, -4) (6, 6, -6) (-5, -5, -5) (7, 7, -7) (3, -3, 3) (8, 8, -8) (4, -4, 4) (-2, -2, 2) (5, -5, 5) (-3, -3, 3) (6, -6, 6) (-4, -4, 4) (7, -7, 7) (-5, -5, 5) |
(3, -1, 5) (4, -2, 5) (10, -8, 1) (11, -9, 1) (5, -3, 5) (12, -10, 1) (6, -4, 5) (13, -11, 1) (7, -5, 5) (14, -12, 1) (8, -6, -5) (0, 1, 2) (9, -7, 5) (1, 0, 2) (10, -8, 5) (2,-1,2) (11,-9,5) (3,-2,2) (12,-10,5) (4,-3,2) (5,-3,1) (5,-4,2) (6,-4,1) (6,-5,2) (7,-5,1) (7,-6,2) (8,-6,1) (8,-7,2) (9,-7,1) (9,-8,2) |
(4,-2,3) (5,-3,3) (9,-7,3) (10,-8,3) (6,-4,3) (11,-9,3) (7,-5,3) (12,-10,3) (8,-6,3) (13, -11, 3) (9, -7, 3) (2, -1, -2) (10, -8, 3) (3, 2, -2) (11, -9, 3) (4, -3, 2) (12, -10, 3) (5, -4, -2) (13, -11, 3) (6, -5, -2) (4, -2, 3) (7, -6, -2) (5, -4, 3) (8, -7, -2) (6, -4, 3) (9, -8, 2) (7, -5, 3) (10, -9, -2) (8, -6, 3) (11, -10, 2) |
Задача №5.
Вычислить площадь
параллелограмма, построенного на
векторах
и
.
|
№ n/n |
|
|
|
|
|
|
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 |
|
