Two non-zero vectors, a\mathbf{a}a and b\mathbf{b}b, are parallel and in the same direction.
Write down an equation relating ∣a+b∣|\mathbf{a} + \mathbf{b}|∣a+b∣, ∣a∣|\mathbf{a}|∣a∣ and ∣b∣|\mathbf{b}|∣b∣.
Two different vectors, m\mathbf{m}m and n\mathbf{n}n, are such that ∣m∣=5|\mathbf{m}| = 5∣m∣=5
The angle between vector m\mathbf{m}m and vector n\mathbf{n}n is 30∘30^{\circ}30∘
The angle between vector m\mathbf{m}m and vector m−n\mathbf{m} - \mathbf{n}m−n is 19.7∘19.7^{\circ}19.7∘
Find ∣m+n∣|\mathbf{m} + \mathbf{n}|∣m+n∣, giving your answer 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.