(i) Find the equation of the plane passing through (1,-1,2) and perpendicular to the planes :
2 x + 3y - 2z = 5 , x + 2y - 3z = 8 .
(ii) find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes :
x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0 .
(iii) Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes :
3x + 2y - 3z = 1 and 5x - 4y + z = 5.

Answer

i) 5x - 4y - z = 7
(ii) 17x + 2y - 7z - 26= 0
(iii) 5x + 9y + 11z - 8 = 0.