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ЭЛЕМЕНТЫ ВЕКТОРНОЙ АЛГЕБРЫ
Задание 1.
Написать разложение вектора по векторам
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Задание 2.
Найти косинус угла между векторами и
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Задание 3.
Вычислить площадь параллелограмма, построенного на векторах и
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Задание 4.
Определить коллинеарны ли векторы и
?
1. ={-2; 7; -1 },
={ -3; 5; 2 },
= 2
+3
,
= 3
+2
2. ={1; 0; 1 },
={-2; 3; 5 },
=
+2
,
= 3
-2
3. ={- 2; 4; 1 },
={1; - 2; 7 },
= 5
+3
,
= 2
-
4. ={1; 2; -3 },
={2; -1; -1 },
= 4
+3
,
= 8
-
5. ={1;-2; 3 },
={3; 0; -1 },
= 2
+4
,
= -1
+3
6. ={-2; 2;-1 },
={-3; 1; 2 },
=
+3
,
= 3
+2
7. ={1; -2; 5 },
={3; -1; 0 },
= 4
-2
,
= -2
+
8. ={3;4; -1 },
={2; -1; 1 },
= 6
-3
;
= -2
+
9. ={-2; -3; -2 },
={1; 0; 5 },
= 3
+9
,
= -
-
10. ={-1;4; 2 },
={3; -2; 6 },
= 2
-
,
= -6
+3
11. ={5;0; -1 },
={7; 2; 3 },
= 2
-
,
= -6
+3
12. ={0;3; -2 },
={1; -2; 1 },
= 5
-2
,
= 3
+5
13. ={3; 2; 0 },
={1; -3; -4 },
= 4
+2
,
= -2
+
14. ={3; 7; 0 },
={1; -3; -4 },
= 4
-2
,
= -2
+
15. ={-1; 2; -1 },
={2; -7; 1 },
= 6
-2
,
= -3
+
16. ={5; 0, -2 },
={6; 4; 3 },
= 5
-3
,
= 4
+2
17. ={8; 3; -1 },
={4; 1; 3 },
= 2
-
,
= -4
+2
18. ={3; -1; 6 },
={5; 7; 10 },
= 4
- 2
,
= - 2
+
19. ={3; 7; 0 },
={4; 6; -1 },
= 3
+2
,
= 5
-7
20. ={ 2;-1; 4 },
={3; -7; -6 },
= 2
-3
,
= 3
-2
21. ={5;-1; -2 },
={6; 0; 7 },
= 3
- 2
,
= - 6
+ 4
22. ={0;5; 3 },
={7; 1;-2 },
= -3
+4
,
= 4
-3
23. ={4; 2; 9 },
={0;-1; 3 },
= -3
+4
,
= 4
-3
24. ={-2;1; 3 },
={7;-2;3 },
= 5
-2
,
= 3
+
25. ={2; -4; 1 },
={1; -3; 0 },
=
+5
,
= 3
-
26. ={2;-1; 4 },
={0;-3;2 },
= 3
+
,
=
+ 2
27. ={2; 3; 1 },
={-1; 0; -1 },
= 3
-
,
=
+
28. ={- 2;7; -1 },
={-3; 5; 2 },
= 3
+2
,
= 2
+3
29. ={7; 9; -2 },
={5; 4; 3 },
= 4
-
,
= 4
-
30.
Дата публикования: 2015-02-18; Прочитано: 218 | Нарушение авторского права страницы | Мы поможем в написании вашей работы!