Question

In the following cases, find the distance of each of the given points from the corresponding given plane. Point Plane

(a) (0, 0, 0) 3x-4y+12z=3
(b) (3, −2, 1) 2x-y+2z+3=0
(c) (2, 3, −5) x+2y-2z=9
(d) (−6, 0, 0)2x-3y+6z-2=0

Answer 1

It is known that the distance between a point, p(x₁, y₁, z₁), and a plane, Ax + By + Cz = D, is given by,

(b) The given

 point is (3, − 2,