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 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.