( 717, #51) Find an equation for the plane consisting of all points that are equidistant from the points
( 1, 1, 0 ) and ( 0, 1, 1 )

Solution: The midpoint between the two points will be a point on the plane. This point is:

The direction vector between the two points, which is also a normal to the plane, is:

n = < 0 - 1, 1 - 1, 1 - 0 > = < -1, 0, 1 >

The general equation for a plane is:

by: nl