The points PPP, QQQ, R R\,R and S S\,S have position vectors p=2i−5j+4k\mathbf{p} = 2\mathbf{i} - 5\mathbf{j} + 4\mathbf{k}p=2i−5j+4k, q=10i+j−2k\mathbf{q} = 10\mathbf{i} + \mathbf{j} - 2\mathbf{k}q=10i+j−2k, r=−3i+7j+k\mathbf{r} = -3\mathbf{i} + 7\mathbf{j} + \mathbf{k}r=−3i+7j+k, s=9i+16j−8k\mathbf{s} = 9\mathbf{i} + 16\mathbf{j} - 8\mathbf{k}s=9i+16j−8k
Show that PQ⃗\vec{PQ}PQ is parallel to 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.