The points P P\,P and Q Q\,Q have position vectors rP=3i−j+4k\mathbf{r}_P = 3\mathbf{i} - \mathbf{j} + 4\mathbf{k}rP=3i−j+4k and rQ=−2i+4j+k\mathbf{r}_Q = -2\mathbf{i} + 4\mathbf{j} + \mathbf{k}rQ=−2i+4j+k respectively.
Find the vector PQ⃗\vec{PQ}PQ
Find ∣PQ⃗∣|\vec{PQ}|∣PQ∣
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.
