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 AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.