Question

A school is preparing the stage for its annual day function. They want to place a hanging mic and a hanging light on the stage. • They decide to position the mic at the point (3,2,1) such that it is equidistant from a plain backdrop and the hanging light as shown below. • The equation of the surface of the plain backdrop is 2x - y + z + 1 = 0

Find the image of the point (3,−2, 1) in the plane 3x − y + 4z = 2