The planes `3x - y + z + 1 = 0 , 5x + y + 3z = 0 ` intersect in the line PQ. The equation of the plane through the point (2,1,4) and the perpendicular to PQ is

(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.

The equation of the plane passing through the points (0,1,2) and (-1,0,3) and perpendicular to the plane 2x+3y+z=5 is

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0

Find the equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0

Find the equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0

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

Equation of the line passing through (1,1,1) and perpendicular to the plane 2x+3y-z-5=0 is

The equation of a plane through the point A(1,0,-1) and perpendicular to the line (x+1)/2=(y+3)/4=(z+7)/-3 is

Equation of a line passing through (-1,2,-3) and perpendicular to the plane 2x+3y+z+5=0 is