49. Ushbu A(1; 2; 3), B(1; 0; 5), C(2; 1; -1) va D(2; -1; 1) nuqtalarning bitta tekislikda yotishini isbotlang.
50. Uchlari A(2; -1; 3), B(1; 3; 4), C(-1; 1; 2), D(5; 4; 5) nuqtalarda joylashgan tetraedrning hajmini toping.
51. Piramidaning A(3; 7; 6), B(3; 1; 2), C(-4 ; 8; -5), D(1; -2; 4) uchlari berilgan. C uchudan tushirilgan piramidaning balandligini toping.
52. ABCD tetraedrning uchta A(1; -3; -2), B(3; -1; 4), C(2; -3; 4) uchlari va uning hajmi 3 ga teng. Tetraedrning D uchi Ox o’qiga tegishli ekanini bilgan holda, uning koordinatalarini toping.
Mustaqil yechish uchun misol va masalalarning javoblari
1. ; ; . 2. .
3. a) {5, -12, 12}; b) {-5, 12, -12}; c) {4, -1,4}; d) (-1, 11, -8);e) {-4,1,-4}.
4.N(3, 0, 7). 5. . 6. 1) ; 2) ;
7.1) Ha; 2) Ha; 3) Yo’q. 8. . 9. . 11. 26.
12 81. 14. 1) {8; -4; 5};2) {2; -2; 9}; 3) {-15; 9; -21}; 4) ;
5) {1; -3; 20};6) .15. 4; -4,5. 16. {-33; -6; 30}.17.{-2; 2; -5};
{-8; 11; - 8}; {10; -13; 13}. 18. = 0,5 - 0,5 ; = 2 + ; = -2 + . 19. 1) {11; -7};2) {10; -7}; 3) {11; -8}; 4) {21; -15}; 5) {32; -22}.
20. .21. = -2 + + 3 , ,
= + 2 - 3 , .22. 1) 15; 2) 25; 3) 36; 4) 91; 5) 31;6) -118; 7) 244 23.1) 240; 2) 132; 3) 1440;4) 68 . 25. -1,5.26. .
27. . 28. . 29. 1) 16; 2) ; 3) ;
4) 169; 5) 85; 6) 21. 31. . 33.{12;-36;18}. 34.{-8;-3;0}. 35. . 37. 4. 39. 6. 40. . 41.1) 18; 2) 5184. 44.1) {7; 1; 5}; 2) {14; 2; 10}; 3) {-28; -4; -20}; 4) {-98; -13; -69}. 46. h = 5. 47. 60. 48. 5. 50. 3. 51. . 52. .
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