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Question 137

The points PPP, QQQ, R R\,R and S S\,S have position vectors p=2i−j+3k\mathbf{p} = 2\mathbf{i} - \mathbf{j} + 3\mathbf{k}p=2i−j+3k, q=5i+j+6k\mathbf{q} = 5\mathbf{i} + \mathbf{j} + 6\mathbf{k}q=5i+j+6k, r=−i+4j−2k\mathbf{r} = -\mathbf{i} + 4\mathbf{j} - 2\mathbf{k}r=−i+4j−2k, s=8i+10j+7k\mathbf{s} = 8\mathbf{i} + 10\mathbf{j} + 7\mathbf{k}s=8i+10j+7k

a.

Find PQ→\overrightarrow{PQ}PQ​

[1]
b.

Find RS→\overrightarrow{RS}RS

[1]
c.

Show that PQ→\overrightarrow{PQ}PQ​ is parallel to RS→\overrightarrow{RS}RS

[2]
Markscheme

Vectors Questions

  1. A Level
  2. /Maths
  3. /Vectors

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.

Question bank