In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.
3y + 4z – 6 = 0

Question

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin. 3y + 4z – 6 = 0

Philoid · Accepted Answer

Let the coordinate of the foot of ⊥ P from the origin to the given plane be P(x,y,z).

x + y + z = 1

Direction ratio (1,1,1)

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.3y + 4z – 6 = 0