The points PPP, QQQ, R R\,R and S S\,S have position vectors p=5i−3j−4k\mathbf{p} = 5\mathbf{i} - 3\mathbf{j} - 4\mathbf{k}p=5i−3j−4k, q=−i+6j+8k\mathbf{q} = -\mathbf{i} + 6\mathbf{j} + 8\mathbf{k}q=−i+6j+8k, r=2i+4j−5k\mathbf{r} = 2\mathbf{i} + 4\mathbf{j} - 5\mathbf{k}r=2i+4j−5k, s=−6i+16j+11k\mathbf{s} = -6\mathbf{i} + 16\mathbf{j} + 11\mathbf{k}s=−6i+16j+11k
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.