3. Two cares, P and Q, are moving on a straight horizontal road with constant velocities. The velocities of P and Q are (15i +20j) ms¹ and (201 - 5j) ms¹¹respectively. a) Find the direction of motion of Q, giving your answer as a bearing correct to the nearest degree.(3) At time t = 0, the position vector of P is 400i m and the position vector of Q is 800j m. At time t seconds, the position vectors of P and Q are p metres and q metres respectively. b) Find an expression for p in terms of t and q in terms of t. c) Find the position vector of Q when Q is due west of P.