Задача №6
Определить
компланарны ли векторы
,
,
и
.
|
№ n/n |
|
|
|
|
6.1. 6.2. 6.3. 6.4. 6.5. 6.6. 6.7. 6.8. 6.9. 6.10. 6.11. 6.12. 6.13. 6.14. 6.15. 6.16. 6.17. 6.18. 6.19. 6.20. 6.21. 6.22. 6.23. 6.24. 6.25. 6.26. 6.27. 6.28. 6.29. 6.30. |
(2,3,1) (3,2,1) (1,5,2) (1,-1,-3) (3,3,1) (3,1,-1) (4,3,1) (4,3,1) (3,2,1) (3,7,2) (1,-2,6) (6,3,4) (7,3,4) (2,3,2) (5,3,4) (3,10,5) (-2,-4,-3) (3,1,-1) (4,2,2) (4,1,2) (5,3,4) (3,4,2) (4,-1,-6) (3,1,0) (3,0,3) (1,-1,4) (6,3,4) (4,1,1) (-3,3,3) (-7,10,-5) |
(-1,0,-1) (2,3,4) (-1,1,-1) (3,2,1) (1,-2,1) (-2,-1,0) (1,-2,1) (6,7,4) (1,-3,-7) (-2,0,-1) (1,0,1) (-1,-2,-1) (-1,-2,-1) (4,7,5) (-1,0,-1) (-3,-2,-3) (4,3,1) (1,0,-1) (-3,-3,-3) (9,2,5) (4,3,3) (1,1,0) (1,-3,-7) (-5,-4,-5) (8,1,6) (1,0,3) (-1,-2,-1) (-9,-4,-9) (-4,7,6) (0,-2,-1) |
(2,2,2) (3,1,-1) (1,1,1) (2,3,4) (1,1,1) (5,2,-1) (2,2,2) (2,0,-1) (1,2,3) (2,2,1) (2,-6,17) (2,1,2) (4,2,4) (2,0,-1) (4,2,4) (2,4,3) (6,7,4) (8,3,-2) (2,1,2) (1,1,-1) (9,5,8) (8,11,6) (2,-1,-4) (4,2,4) (1,1,-1) (1,-3,8) (2,1,2) (6,2,6) (3,0,-1) (-2,4,-1) |
Задача №7
Вычислить объем
пирамиды и вершинами в точках
,
,
,
и
,и его высоту, опущенную из вершиныDна граньABC.
|
№ n/n |
|
|
|
|
|
7.1. |
(0,1,2) |
(2,1,7) |
(2,7,4) |
(0,0,4) |
|
7.2. |
(1,2,3) |
(2,8,-4) |
(0,5,4) |
(2,9,4) |
|
7.3. |
(1,1,1) |
(2,4,-2) |
(2,0,2) |
(0,1,-1) |
|
7.4. |
(1,-1,1) |
(0,2,3) |
(1,-1,0) |
(0,2,2) |
|
7.5. |
(2,1,3) |
(4,-2,0) |
(1,3,-3) |
(7,5,2) |
|
7.6. |
(-2,0,4) |
(1,3,-1) |
(4,-1,3) |
(2,7,3) |
|
7.7. |
(1,2,3) |
(0,0,0) |
(1,4,3) |
(1,8,-1) |
|
7.8. |
(-1,2,0) |
(1,0,3) |
(0,2,2) |
(1,8,3) |
|
7.9. |
(2,-1,1) |
(3,3,2) |
(2,1,0) |
(4,1,-3) |
|
7.10. |
(2,1,-1) |
(-3,1,2) |
(0,1,2) |
(-1,8,3) |
|
7.11. |
(-2,1,1) |
(5,5,4) |
(3,2,-1) |
(4,1,3) |
|
7.12. |
(0,1,-1) |
(3,-1,5) |
(1,0,4) |
(3,5,7) |
|
7.13. |
(1,1,2) |
(-1,1,3) |
(2,-2,4) |
(-1,0,-2) |
|
7.14. |
(2,3,1) |
(4,1,-2) |
(6,3,7) |
(7,5,-3) |
|
7.15. |
(1,1,-1) |
(2,3,1) |
(3,2,1) |
(5,9,-8) |
|
7.16. |
(1,5,-7) |
(-3,5,3) |
(-2,7,3) |
(-4,8,-12) |
|
7.17. |
(-3,4,-7) |
(1,5,-4) |
(-6,-2,0) |
(2,5,4) |
|
7.18. |
(-1,2,-3) |
(4,-1,0) |
(2,1,-2) |
(3,4,5) |
|
7.19. |
(4,-1,3) |
(-2,1,0) |
(0,-5,1) |
(3,2,-6) |
|
7.20. |
(1,-1,1) |
(-2,0,3) |
(2,1,-1) |
(2,-2,-4) |
|
7.21. |
(1,2,0) |
(1,-1,2) |
(0,1,-1) |
(-3,0,1) |
|
7.22. |
(1,0,2) |
(1,2,-1) |
(2,-2,1) |
(2,1,0) |
|
7.23. |
(1,2,-3) |
(1,0,1) |
(-2,-1,6) |
(0,-5,-4) |
|
7.24. |
(3,10,-1) |
(-2,3,-5) |
(-6,0,-3) |
(1,-1,2) |
|
7.25. |
(-1,2,4) |
(-1,-2,-4) |
(3,0,-1) |
(7,-3,1) |
|
7.26. |
(0,-3,1) |
(-4,1,2) |
(2,-1,5) |
(3,1,-4) |
|
7.27. |
(1,3,0) |
(4,-1,2) |
(3,0,1) |
(-4,3,5) |
|
7.28. |
(-2,-1,-1) |
(0,3,2) |
(3,1,-4) |
(-4,7,3) |
|
7.29. |
(-3,-5,6) |
(2,1,-4) |
(0,-3,-1) |
(-5,2,-8) |
|
7.30. |
(2,-4,-3) |
(5,-6,0) |
(-1,3,-3) |
(-10,-8,7) |
