Vectors

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Hard

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.

\vec{OA} = 5\mathbf{a}

\vec{OB} = 3\mathbf{b}

M is the midpoint of AB

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

[1]

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

[1]

Find, in terms of $a\mathbf{a}$ and $b\mathbf{b}$ , the vector $OM⃗\vec{OM}$ .

[2]

Vectors Questions

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.