CAIE IGCSE Mathematics Extended E7.2.2 Add and Subtract Vectors Questions

Practise Extended CAIE IGCSE Mathematics by adding and subtracting vector components, using head-to-tail identities and substituting coordinate or named-vector values without losing direction.

Exam points

Add or subtract vector components in column, named-vector and geometric forms.
Use head-to-tail relationships such as AB + BC = AC to simplify or complete a vector statement.
Substitute given vectors or coordinates into an expression and retain the correct direction of the result.

[Maximum number: 2]

$\mathbf u=\begin{pmatrix}3\\-2\end{pmatrix}\qquad \mathbf v=\begin{pmatrix}-12\\5\end{pmatrix}$

Find u-2 v.

$\begin{pmatrix}27\\-12\end{pmatrix}$

B1 for $\begin{pmatrix}27\\k\end{pmatrix}$ or for $\begin{pmatrix}k\\-12\end{pmatrix}$ .

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CAIE IGCSE Mathematics Extended E7.2.2 Add and Subtract Vectors Questions question 1