In triangle LMNLMNLMN, LM⃗=i−2j+5k\vec{LM} = \mathbf{i} - 2\mathbf{j} + 5\mathbf{k}LM=i−2j+5k, LN⃗=4i+3j−2k\vec{LN} = 4\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}LN=4i+3j−2k
Find the vector MN⃗\vec{MN}MN
Find the length of the line LMLMLM
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.