In this question the unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.
A car is driving with velocity (7i−5j)(7\mathbf{i} - 5\mathbf{j})(7i−5j) m s−1^{-1}−1.
Find the speed of the car, giving your answer to 3 significant figures.
Find the bearing on which the car is travelling, giving your answer to 1 decimal place.
168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.