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 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.