Question 15 – Vectors - Edexcel GCSE Maths Questions

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 $XY⃗\vec{XY}$ .

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

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

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 $XY⃗\vec{XY}$ .

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

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

Vectors