At the very end of a race, Boat A has a position vector of (65i + 180j)

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At the very end of a race, Boat A has a position vector of (−65i + 180j) m and Boat B has a position vector of (100i + 120j) m. The finish line has a position vector of 10i km.

a. Show that Boat B is closer to the finish line than Boat A. Boat A is travelling at a constant velocity of (2.5i − 6j) m/s and Boat B is travelling at a constant velocity of (−3i − 4j) m/s.

b. Calculate the speed of each boat. Hence, or otherwise, determine the result of the race.

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