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