In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.

Question

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin. 2x + 3y + 4z – 12 = 0

Philoid · Accepted Answer

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.)