Given: The point of the equation are (1,2,1) and (-2,0,3) . The equation of line is,
x−1
−2−1
=
y−2
0−2
=
z−1
3−1
=λ Equation of the plane passing through the points (0,0,0),(0,0,4), and (2,1,0) is |
x−0
y−0
z−1
0−0
0−0
4−0
2−0
1−0
0−0
|=0 |
x
y
z
0
0
4
2
1
0
|=0 −4(x−2y)=0 x=2y As, A lies on above plane, −3λ+1−2(−2λ+2)=0 −3λ+1+4λ−4=0 λ=3 Coordinates of point A is (-8,-4,7) OA=−8i−4j+7k