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)

(b) (3, −2, 1)

(c) (2, 3, −5)

(d) (−6, 0, 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,

(a) The given point is (0, 0, 0) and the plane is

(b) The given point is (3, − 2, 1) and the plane is

∴

(c) The given point is (2, 3, −5) and the plane is

(d) The given point is (−6, 0, 0) and the plane is