Vectors

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Hard

A vector diagram showing points O, X, Y, and M. Vector OX is labeled 6a and vector OY is labeled 10b. M is the midpoint of the line segment XY.

The diagram shows a triangle $O X Y$ .

\vec{OX} = 6\mathbf{a}

\vec{OY} = 10\mathbf{b}

M is the midpoint of $X Y$

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

[1]

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

[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.