Skip to content

Course home

Question bank·Vectors Proof Questions
Sign up

Vectors Proof Questions

Hard
12345678910111213141516171819202122
Question 2
63%

A vector diagram shows a triangle OABOABOAB.

OA→=2a \overrightarrow{OA} = 2\mathbf{a} OA=2a OB→=3b \overrightarrow{OB} = 3\mathbf{b} OB=3b

P P\,P is the point on AB AB\,AB such that AP:PB=1:4AP:PB = 1:4AP:PB=1:4

OP→=k(8a+3b) \overrightarrow{OP} = k(8\mathbf{a} + 3\mathbf{b}) OP=k(8a+3b)

Vector diagram of triangle OAB with OA equal to 2a, OB equal to 3b, P dividing AB in the ratio 1 to 4, and OP equal to k times 8a plus 3b.

Find the value of kkk.

[4]
Video walkthrough

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.

More questions