The points PPP, QQQ, R R\,R and S S\,S have position vectors p=−2i+9j−5k\mathbf{p}=-2\mathbf{i}+9\mathbf{j}-5\mathbf{k}p=−2i+9j−5k, q=4i+j−k\mathbf{q}=4\mathbf{i}+\mathbf{j}-\mathbf{k}q=4i+j−k, r=−5i+7j−9k\mathbf{r}=-5\mathbf{i}+7\mathbf{j}-9\mathbf{k}r=−5i+7j−9k, s=4i−5j−3k\mathbf{s}=4\mathbf{i}-5\mathbf{j}-3\mathbf{k}s=4i−5j−3k
Show that PQ→\overrightarrow{PQ}PQ is parallel to RS→\overrightarrow{RS}RS and find, in exact form, the length of PQPQPQ
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.