A small boat S, drifting in the sea, is modelled as a particle moving in a straight

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A small boat S, drifting in the sea, is modelled as a particle moving in a straight line at constant speed. When first sighted at 09:00, S is at a point with position vector (−2i − 4j) km relative to a fixed origin O, where i and j are unit vectors due east and due north respectively. At 09:40, S is at the point with position vector (4i − 6j) km.

a. Calculate the bearing on which S is drifting.

b. Find the speed of S.

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