1. The problem statement, all variables and given/known data Two ships, A and B, leave port at the same time. Ship A travels northwest at 22 knots and ship B travels at 29 knots in a direction 40° west of south. (a) What is the magnitude the velocity of ship A relative to B? (b) What is the direction of the velocity of ship A relative to B? (c) After what time will the ships be 125 nautical miles apart? (d) What will be the bearing of B (the direction of B's position) relative to A at that time? 2. Relevant equations V_aw=V_ab+V_b Where a is boat a, b is boat b, and w is the water-also aw is ship a's velocity with respect to the water, ab is the velocity of a with respect to b) 3. The attempt at a solution I found the componets of the two vectors(with respect to a y axis thats positive in the north direction and an x axis positive in the east direction) as: A=(-15.55i+15.55j) or (22cos45+22sin45) B=(-22.22i+-18.64j) or (29cos40+29sin40) I've found these componets with respect to their own frames of reference, however the problems asks for the magnitude of the velocity of a with respect to b, so should I measure my angles of a from the b vector? I'm lost as to how to solve. Also I've come to the conclusion that this is addition( or subtraction) of vectors a and b, being that its a with respect to b however I'm not sure if it is B-A=C (with c being the velocity of a with respect to b)or A-B=C.