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∣
Practise AQA A Level Maths 1.13 J: Vectors with exam-style questions for A Level Maths. 122 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
