,
M0(x0;y0;z0), M1(x1;y1;z1), M2(x2;y2;z2) , :
(2.17.1) |
, : M0 (1;2;3), M1 (2;1;2), M2 (3;3;1).
, {1,1,1} {2,1,2} . M0M1M2 , .. x + z 4 = 0.
(2.17.2) |
, a, b c , Ox, Oy Oz (. 2.17.1).
. 2.17.1
3 x 6 y +2 z 12 = 0 .
, a =4, b =2, c =6.
.
f A1x + B1y + C1z + D1 = 0
A2x + B2y + C2z + D2 = 0 (. 2.18.1) :
(2.18.1) |
. 2.18.1
x y + 21/2 z + 2 = 0 x + y + 21/2 z 3 = 0.
, , , , ..
(2.18.2) |
, 2 x 3 y 4 z +11=0 4 x +6 y +8 z +36=0.
,
A1x1 + B1y1 + C1z1 + D = 0, A2x2 + B2y2 + C2z2 + + D = 0, :
(2.18.3) |
, N 1{A1,B1,C1} N 2{A2,B2,C2}.
3 x 2 y 2 z +7=0 2 x +2 y + z +4=0.
3×2+(2)×2+(2) ×1=0, .
,
, M1(x1;y1;z1) Ax + By + Cz + D =0, :
(3.2.7) |
, (2;1;6) x + y 2 z +5=0.
:
(x 2) + (y +1) 2(z 6) = 0, .. x + y 2 z + 11 = 0.
,
P, M0(x0,y0,z0) M1(x1,y1,z1) Q, Ax + By + Cz + D =0,
(2.18.4) |
, : M0 (1;2;3) M1 (2;1;1) 3 x +4 y + z 6=0.
|
|
:
, .. x y + z 2=0.
M1(x1, y1, z1) Ax + By + Cz + D =0
(2.18.5) |
(3;9;1) x 2 y +2 z 3=0.