1.)
L: 
(1)
M0 (x0;y0;z0) - L.
l, m, n L Ox, Oy, Oz . l, m, n .
2). , M1 (x1,y1, z1) M2 (x2,y2, z2),
(2)
(x 1,y 1,z 1) - , (x2,y2,z 2) - , (x,y,z) - .
3.)
(3)
M0 (x0;y0;z0) - , l, m, n , t , .
4.)
L1: 
L2: 
, L1 L2 , :
(4)
5.)
l 1 l2 + m1 m 2 +n1 n2 =0 (5)
6).
Ax + By + Cz+D = 0, (6)
A, B, C, D , A, B, , (x;y;z) - . , , (1) , .
7.) ,
M0 (x0,y0,z0), M1 (x1,y1,z1), M2 (x2,y2,z2)
(7)
(x-x0) ((y1-y0)(z2-z0)-(y2-y0)(z1-z0)) (y-y0) ((x1-x0)(z2-z0)-(x2-x0)(z1-z0))+
+(z-z0) ((x1-x0)(y2-y0)-(x2-x0)(y1-y0))=0
8).
1: A1 x+B1 y+C1 z+D1=0
2:A2x+B2y+C2z+D2=0, 1 2, :
(8)
9.)
A1 A2 + B1B 2 + C1 2 =0 (9)
10.)
A1 x+B1 y+C1 z+D1=0 A2 x+B2 y+C2 z+D2=0
(10.)
10.)
(10.)
10.)
L (l, m, n) Ax+By+Cz+D=0
(10.)
11.)
1 (x1,y1,z1) 2 (x2,y2,z2), :
(11)
12.) M0 (x0,y0,z0)
A x+B y+C z+D=0:
(12)
13.) , 
, 
,
(13)
, , .
14.) ,
, 
, 
(14)
, .
.
3.
1 (1,-1,-2), 2 (2,1,0), 3 (-1,0,2), 4 (0,1,1).
3..) 1 2.
(11). .
1 2 3.
3..) 1 4. 123 .
1 (1,-1,-2) 4 (0,1,1), (2)
|
|
|
; 
,
1 (1,-1,-2), 2 (2,1,0), 3 (-1,0,2),
(7)
6 x-8y+5z-4=0,
3.)
4 (0,1,1) 123 .
4 (0,1,1) 6 x-8y+5z-4=0, 
.
, .. 
(2), 
.
(3)
x=6t, y=1-8t, z=1+5t
3..) 1A2A3
1 (1,-1,-2), 2 (2,1,0), 3 (-1,0,2),
1/2 , 
. . (13)
; 
, 
3.) 1A23A4
1 (1,-1,-2), 2 (2,1,0), 3 (-1,0,2), 4 (0,1,1).
1/6 , 1A2, 1A3, 1A4. (14)
, , 
4.
4.1-4.20. .
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. = 
.
