Two different vectors, m\mathbf{m}m and n\mathbf{n}n, are such that ∣m∣=6|\mathbf{m}| = 6∣m∣=6 and ∣m+n∣=8|\mathbf{m} + \mathbf{n}| = 8∣m+n∣=8 The angle between vector m\mathbf{m}m and vector n\mathbf{n}n is 30∘30^{\circ}30∘
Find the angle between vector m\mathbf{m}m and vector m−n\mathbf{m} - \mathbf{n}m−n, giving your answer in degrees to one decimal place.
284 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.