# Determine time and distance? maths vectors

**Question description**

Assume t is hours and distance units are kilometres. Consider two yachts A and B where yacht A has initial position A(0) (-10,4) and velocity vector [2,-1]. The initial position of yacht B is B(0) (3,-13) and its velocity vector is [-1,3]. Determine the time when they are nearest and the shortest distance they are apart?

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