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.
197 exam-style questions on OCR A Level Maths 1.10 Vectors, covering 1.10.1 Vectors in two dimensions, 1.10.2 Vectors in three dimensions (A-level only), 1.10.3 Magnitude and direction of vectors, 1.10.4 Basic operations on vectors, 1.10.5 Position vectors, 1.10.6 Distance between points, 1.10.7 Problem solving using vectors, 1.10.8 Vectors in kinematics, and 1.10 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.