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∣
309 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.