Ax+By+z-Ax0-By0-z0=0
-Ax0-By0-z0=D, D=Ax+By+z
Ax+By+z+D=0
:
D=0, Ax+By+z=0( / 0;0)
A=0, By+z+D=0
B=0, Ax +z+D=0
C=0, Ax+By+D=0
A=B=0, z+D=0
A=C=0, By+D=0
A=D=0, By+z=0
B=D=0, Ay+z=0
.
N1, N2 - .
P:A1x+B1y+C1z+D1=0
Q:A2x+B2y+C2z+D2=0
P^Q{A1,B1,C1}
Q^ N 2{A2,B2,C2}
1) P^Q<=> N1 ^ N 2
A1A2+B1B2+C1C2=0 / P^Q.
2) P^Q<=> N1 ^ N 2
A1/A2=B1/B2=C1/C2- II 2 .
A1/A2=B1/B2=C1/C2=D1/D2- 2 .
- .
M0M {x-x0,y-y0,z-z0}
Î( )
. , M0M || S
,
/ 2 .
l m n
S {x2-x1,y2-y1,z2-z1}
, .
