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Question 20

A vector diagram showing points O, A, B, and M. Vector OA is labeled 5a and vector OB is labeled 3b. M is the midpoint of the line segment AB.

The diagram shows a triangle OAB.

OA⃗=5a \vec{OA} = 5\mathbf{a} OA=5a OB⃗=3b \vec{OB} = 3\mathbf{b} OB=3b

M is the midpoint of AB

a.

Find, in terms of a\mathbf{a}a and b\mathbf{b}b, the vector AB⃗\vec{AB}AB.

[1]
b.

Find, in terms of a\mathbf{a}a and b\mathbf{b}b, the vector AM⃗\vec{AM}AM.

[1]
c.

Find, in terms of a\mathbf{a}a and b\mathbf{b}b, 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