Consider the line segment between each of the following solution pairs z112 and z122. Write an algebraic expression representing all points on the line segment, show that the given z132 is on the line segment, and show that the z142 specified is not.

(a) z112 = 13, 1, 02, z122 = 10, 4, 92, z132 =

12, 2, 32, z142 = 13, 5, 92

(b) z112 = 16, 4, 42, z122 = 110, 0, 72, z132 =

19, 1, 25>42, z142 = 114, -4, 102