[In this question the unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.]
A coastguard station O O\,O monitors the movements of a small boat.
At 08:00 the boat is at the point (3i−4j)(3\mathbf{i} - 4\mathbf{j})(3i−4j) km relative to OOO.
At 10:20 the boat is at the point (−2i−7j)(-2\mathbf{i} - 7\mathbf{j})(−2i−7j) km relative to OOO.
The motion of the boat is modelled as that of a particle moving in a straight line at constant speed.
Calculate the bearing on which the boat is moving, giving your answer in degrees to one decimal place.
Calculate the speed of the boat, giving your answer in km h−1\text{km h}^{-1}km h−1
21 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.