Suppose u =3i +4k, and suppose v is a vector (in R3) that is confined to the xy-plane and has magnitude |v|=2.(a) Find the two possible choices of v that make |u v| as large as possible. For each one of them, draw a neat graph that includes u, v, and u v. Put all their tails at the origin, and label the coordinates of all their heads.(b) Find the two possible choices of v that make |u v| as small as possible. For each one of them, draw a neat graph that includes u, v, and u v. Put all their tails at the origin, and label the coordinates of all their heads.