Given that the point L L\,L has position vector i+6j+3k\mathbf{i} + 6\mathbf{j} + 3\mathbf{k}i+6j+3k and the point M M\,M has position vector 4i−2j+5k4\mathbf{i} - 2\mathbf{j} + 5\mathbf{k}4i−2j+5k
Find the vector LM⃗\vec{LM}LM
Find ∣LM⃗∣|\vec{LM}|∣LM∣
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.