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1.11 Vectors

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Question 14

Relative to a fixed origin OOO, the point P P\,P has position vector (3i+5j−k)(3\mathbf{i} + 5\mathbf{j} - \mathbf{k})(3i+5j−k), the point Q Q\,Q has position vector (4i+3j+2k)(4\mathbf{i} + 3\mathbf{j} + 2\mathbf{k})(4i+3j+2k), and the point R R\,R has position vector (3i−6j+9k)(3\mathbf{i} - 6\mathbf{j} + 9\mathbf{k})(3i−6j+9k).

a.

Find PQ→\overrightarrow{PQ}PQ​

[2]
b.

Show that the quadrilateral OPQR OPQR\,OPQR is a trapezium, giving reasons for your answer.

[2]
Markscheme

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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