10.18. a ´ (2 a + b), a = (3, 1, 2),
b = (1, 2, 1).
10.19. a = i + 2 j 3 k, b = 2 i + j + k.
c = (a b) ´ (2 b); | c |.
10.20. c,
a = (3; 1; 2) b = ( 1; 3; 1).
10.21. e,
a = (1; 4; 3) .
10.22. ,
a = (8; 4; 1) b = (2; 2; 1).
10.23. A (1, 2, 3),
B (1, 1, 4), C (3, 2, 1).
10.24. ,
a = 3 p + 2 q b = 2 p q, | p | = 4, | q | = 3, Ð(p, q) = 3p/4.
10.25. l a = (1; 1; l), b = (0; 1; 0)
c = (3; 0; 1) ?
10.26. c a b; Ð(a, b) = p/6,
| a | = 6, | b | = 3, | c | = 3. abc.
10.27. A (1, 4, 1),
B ( 2, 3, 2), C (4, 6, 2), D (1, 1, 0).
10.28. 5,
A (2, 1, 1), B (3, 0, 1), C (2, 1, 3). D,
, .
10
10.1. 2(k i). 10.2. 2 a ´ c. 10.3. 50 
. 10.4. 2 
.
10.5. 7; a) ; ) ; ) . 10.6. . 10.7. 2. 10.8. 3 .
10.9. a || b. 10.10. a ´ c. 10.11. 3. 10.12. 5. 10.13. 
/2. 10.14. 3 /2.
10.15. . 10.16. 6. 10.18. (5; 1; 7). 10.19. (10; 10; 10), 10 
.
10.20. 
(5; 1; 8). 10.21. (0; 3/5; 4/5). 10.22. 18 
.
10.23. 
. 10.24. 42 . 10.25. 1/3. 10.26. 27.
10.27. 2,5. 10.28. (0; 8; 0).
--5-07
11.
: ; ; ; ; ; , , .
| 1. | 11.1 11.3 | 11.5 - 11.7 | |
| 2. | 11.4 | 11.8 | 11.9 - 11.18 |
11.1 11.3 .
11.1. L M o( 1, 2) Î L
n = (2,2).
11.2. L M o( 1, 2) Î L
q = (3, 1).
11.3. L M 1 (1, 2) M 2 (1, 0).
11.4. L: 2 x + y 1 = 0 M ( 1, 2). :
) r M L;
) L', M L;
) L", M L;
) , M, , ;
) , L.
|
|
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