Find the coordinates of the foot of perpendicular drawn from origin to the planes: `2x+3y+4z-12=0`

Find the coordinates of the foot of perpendicular drawn from origin to the planes: 2x-3y+4z-6=0

Find the coordinates of the foot of perpendicular drawn from origin to the planes: 3y+4z-6=0

Find the coordinates of the foot of perpendicular drawn from origin to the planes: x+y+z=1

Find the coordinates of the foot of perpendicular drawn from origin to the planes: 5y+8=0

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x-3y+4z-6=0

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x-3y+4z-6=0

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 3y+4z-6=0 .

(a) Find the length and the foot of the perpendicular from : P (1,1,2) to the plane 2x - 2y + 4z + 5 = 0 (b) Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 2x - 3y + 4z - 6 = 0.

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane i) 2x+3y+4z-12=0 , ii) 5y+8=0 .

Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 3x + 4y – 6z + 1 = 0. Find also the co-ordinates of the point on the line which is at the same distance from the foot of the perpendicular as the origin is.