Edexcel IGCSE Math B 8.G Scalar Multiplication of Vectors Question Bank

Practise scaling column and position vectors and using section ratios to express points along a line.

Exam points

multiply every component of a vector by the stated scalar
translate a section ratio into a scalar multiple of the full position vector
compare corresponding components of parallel vectors to determine an unknown scalar

Figure 1 shows triangle OAB in which $\overrightarrow{O A}=4 \mathbf{a}$ and $\overrightarrow{O B}=8 \mathbf{b}$
P is the point on OA such that O P: O A=1: 4

Express in terms of a or bor a and b where appropriate,

$\overrightarrow{PO}$

$\overrightarrow{PO}=-\mathbf{a}$

B1.

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8.G Scalar multiplication of vectors question 1