The points PPP, QQQ, R R\,R and S S\,S have position vectors p=i−4j+2k\mathbf{p} = \mathbf{i} - 4\mathbf{j} + 2\mathbf{k}p=i−4j+2k, q=7i+2j−4k\mathbf{q} = 7\mathbf{i} + 2\mathbf{j} - 4\mathbf{k}q=7i+2j−4k, r=−2i+5j+k\mathbf{r} = -2\mathbf{i} + 5\mathbf{j} + \mathbf{k}r=−2i+5j+k, s=7j−k\mathbf{s} = 7\mathbf{j} - \mathbf{k}s=7j−k
Show that PQ→\overrightarrow{PQ}PQ is parallel to RS→\overrightarrow{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.