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Cambridge IGCSE Mathematics

7.4Vector geometry

Vector geometry in Cambridge IGCSE Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
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Learning objectives

What the syllabus expects you to be able to do.

  1. 7.4.1Extended: represent vectors by directed line segments and use position vectors.
  2. 7.4.2Extended: express vectors in terms of two coplanar vectors using sums and differences of vectors.
  3. 7.4.3Extended: use vectors to reason and solve geometric problems, such as showing that lines are parallel or that three points are collinear.

Lessons

  • Vector geometry: position vectors, ratios and proofs

    40 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Vector geometry: sample question

1 mark

OA→=a\overrightarrow{OA} = \mathbf{a} and OB→=b\overrightarrow{OB} = \mathbf{b}. MM is the midpoint of ABAB. Which expression gives OM→\overrightarrow{OM}?

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