The points PPP, QQQ, R R\,R and S S\,S have position vectors p=−6i+8j−k\mathbf{p} = -6\mathbf{i} + 8\mathbf{j} - \mathbf{k}p=−6i+8j−k, q=3k\mathbf{q} = 3\mathbf{k}q=3k, r=4i−2j+7k\mathbf{r} = 4\mathbf{i} - 2\mathbf{j} + 7\mathbf{k}r=4i−2j+7k and s=19i−22j+17k\mathbf{s} = 19\mathbf{i} - 22\mathbf{j} + 17\mathbf{k}s=19i−22j+17k
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.