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Question 17

A vector diagram showing points O, J, K, and M. Vector OJ is labeled 7p and vector OK is labeled 5q. M is the midpoint of the line segment JK.

The diagram shows a triangle OJKOJKOJK.

OJ⃗=7p \vec{OJ} = 7\mathbf{p} OJ=7p OK⃗=5q \vec{OK} = 5\mathbf{q} OK=5q

M is the midpoint of JKJKJK

a.

Find, in terms of p\mathbf{p}p and q\mathbf{q}q, the vector JK⃗\vec{JK}JK.

[1]
b.

Find, in terms of p\mathbf{p}p and q\mathbf{q}q, the vector JM⃗\vec{JM}JM.

[1]
c.

Find, in terms of p\mathbf{p}p and q\mathbf{q}q, the vector OM⃗\vec{OM}OM.

[2]

Vectors Questions

  1. GCSE
  2. /Maths
  3. /Vectors

Practise Edexcel GCSE Maths Vectors with exam-style questions for Foundation and Higher tier. 33 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank