In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.
2x + 3y + 4z – 12 = 0
Let the coordinate of the foot of ⊥ P from the origin to the given plane be P(x,y,z).
2x + 3y + 4z = 12
Direction ratio (2,3,4)
This is the form of
lx + my + nz = d (∴ d = Distance of the normal from the origin.)