Let A and B, and O be points on the plane, and suppose that they are not collinear. Let L denote the line segment AB.

Let A and B, and O be points on the plane, and suppose that they are not collinear.

Let L denote the line segment AB. Let C be a point on L such that the distance from C to

A is four times the distance from C to B. Let a=OA ,b=OB, and c=OC. Show that c=1/5(a)+4/5(b)