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Vectors Proof Questions

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Question 17

A diagram shows a triangle OABOABOAB.

OA→=5a \overrightarrow{OA} = 5\mathbf{a} OA=5a OB→=2b \overrightarrow{OB} = 2\mathbf{b} OB=2b

P P\,P is the point on AB AB\,AB such that AP:PB=3:1AP:PB = 3:1AP:PB=3:1

OP→=k(5a+6b) \overrightarrow{OP} = k(5\mathbf{a} + 6\mathbf{b}) OP=k(5a+6b)

Triangle OAB with P on AB in the ratio AP to PB equals 3 to 1, and line OP shown.

Find the value of kkk.

[4]
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Vectors Proof Questions Questions

  1. GCSE
  2. /Maths
  3. /Vectors Proof Questions

22 exam-style questions on AQA GCSE Maths Vectors Proof Questions. Each one has a worked solution and a mark scheme showing where the marks go.

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