Vector: The intersection of two lines (Exercise 2, Question 3)

In this question the origin is taken to be at a harbour and the unit vectors i and j to have lengths of 1 km in the directions E and N.

A cargo vessel leaves the harbour and its position vector t hours later is given by r1 = 12ti + 16tj.

A fishing boat is trawling nearby and its position at time t is given by r2 = (10 - 3t)i + (8 + 4t)j.

Solution: