(2) (5 pts) Consider two vectors A = Ari + Ayj and B = Bri + Byj. Recall that the dot product between these two vectors may also be written as A . B = |A| |B| cos d where o is the angle between A and B. (a) (2.5 pts) Show that if the vectors A, B are perpendicular then A - B = 0. Furthermore, show that this implies Ax Ba = - Ay By. (b) (2.5 pts) Show that if the vectors A, B are parallel then A - B = |A| |B). Show that this also implies A . B = AB + A3 B, + AB2 + AB3