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Q3. Two ships leave the same port at the same time. Ship A travels at 23^o North of West at 17 knots and ship B travels 31^o South of West at 14 knots.

(a) Sketch a vector diagram clearly indicating the relative velocity of ship A with respect to B; (6)

(b) Calculate EACH of the following:

(i) The magnitude and direction of the relative velocity of ship A with respect to B; (8)

(ii) The absolute distance covered by each of the ships when they are 100 nautical miles apart and both hold their original courses. (4)