Skip to content

Course home

Vectors Proof Questions

Vectors Proof Questions

MediumHard
123456789101112131415161718
Question 8
52%

A diagram shows a triangle OABOABOAB.

OA→=3a \overrightarrow{OA} = 3\mathbf{a} OA=3a OB→=4b \overrightarrow{OB} = 4\mathbf{b} OB=4b

P P\,P is the point on AB AB\,AB such that AP:PB=2:3AP:PB = 2:3AP:PB=2:3

OP→=k(9a+8b) \overrightarrow{OP} = k(9\mathbf{a} + 8\mathbf{b}) OP=k(9a+8b)

Triangle OAB with P on AB in the ratio AP to PB equals 2 to 3, and vectors OA, OB and OP labelled with their given expressions.

Find the value of kkk.

[4]
Markscheme

Vectors Proof Questions Questions

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

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

Question bank