Determine whether the following statements are true and give an explanation or counterexample.

a. The cross product of two nonzero vectors is a nonzero vector.

b. |u × v| is less than both |u| and |v|.

c. If u points east and v points south, then u × v points west.

d. If u × v = 0 and u • v = 0, then either u = 0 or v = 0.

e. Law of Cancellation? If u × v = u × w, then v = w.