Find the distance between(-3,4,6) and its image in XY-plane.

We have to find the distance between(-3,4,6) and its image in XY-plane.

The distance between the point and its image along the XY plane is equal to the twice the distance of the point from XY plane.

The distance of a point from XY plane the z-coordinate of the point itself.

So the distance between the point and the image is

= 6 x 2

=12