A boat has a position vector of (2i + j) km and a buoy has a position

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A boat has a position vector of (2i + j) km and a buoy has a position vector of (6i − 4j) km, relative to a fixed origin O.

a. Find the distance of the boat from the buoy.

b. Find the bearing of the boat from the buoy.

The boat travels with constant velocity (8i − 10j) km/h.

c. Verify that the boat is travelling directly towards the buoy

d. Find the speed of the boat.

e. Work out how long it will take the boat to reach the buoy.

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