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1 Unit 1: Pure Mathematics A

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Question 8

OABC OABC\,OABC is a parallelogram, with OA⃗=a\vec{OA} = \mathbf{a}OA=a and OC⃗=c\vec{OC} = \mathbf{c}OC=c.

M M\,M is the midpoint of the diagonal OBOBOB.

Figure for question 8

a(i).

Find AC⃗\vec{AC}AC in terms of a\mathbf{a}a and c\mathbf{c}c.

[1]
a(ii).

Find OM⃗\vec{OM}OM in terms of a\mathbf{a}a and c\mathbf{c}c, simplifying your answer.

[2]
b.

Hence prove that the diagonals of a parallelogram bisect one another.

[4]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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