The position vectors of the points R R\,R and S S\,S relative to an origin O O\,O are OR⃗=8i−3j−2k\vec{OR} = 8\mathbf{i} - 3\mathbf{j} - 2\mathbf{k}OR=8i−3j−2k and OS⃗=5i−7j+k\vec{OS} = 5\mathbf{i} - 7\mathbf{j} + \mathbf{k}OS=5i−7j+k.
Find the vector RS⃗\vec{RS}RS
Find ∣RS⃗∣|\vec{RS}|∣RS∣
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.