The points PPP, QQQ, R R\,R and S S\,S have position vectors p=−5i+3j+8k\mathbf{p} = -5\mathbf{i} + 3\mathbf{j} + 8\mathbf{k}p=−5i+3j+8k, q=i−5j+2k\mathbf{q} = \mathbf{i} - 5\mathbf{j} + 2\mathbf{k}q=i−5j+2k, r=4i−2j+7k\mathbf{r} = 4\mathbf{i} - 2\mathbf{j} + 7\mathbf{k}r=4i−2j+7k, s=19i−22j−8k\mathbf{s} = 19\mathbf{i} - 22\mathbf{j} - 8\mathbf{k}s=19i−22j−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.