Two ships, a and b, leave port at the same time. ship a travels northwest at 21 knots and ship b travels at 25 knots in a direction 32° west of south. (1 knot = 1 nautical mile per hour; see appendix d.) what are (a) the magnitude (in knots) and (b) direction (measured relative to east) of the velocity of ship a relative to b? (c) after how many hours will the ships be 180 nautical miles apart? (d) what will be the bearing of b (the direction of the position of b) relative to a at that time? (for your angles, takes east to be the positive x-direction, and north of east to be a positive angle. the angles are measured from -180 degrees to 180 degrees. round your angles to the nearest degree.)