It is given that a=4i−3j\mathbf{a} = 4\mathbf{i} - 3\mathbf{j}a=4i−3j.
Find ∣a∣|\mathbf{a}|∣a∣.
Find the angle that a\mathbf{a}a makes with the positive xxx-direction, 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.