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

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.)

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