Pearson Edexcel IAL Mathematics P4.7.3 Vector addition & scalar multiplication

Practise adding vectors and multiplying by scalars to describe displacements, directions and simple geometric relationships.

[Maximum number: 2]

Figure 1

Figure 1 shows a sketch of triangle PQR.
Given that
- $\overrightarrow{P Q}=2 \mathbf{i}-3 \mathbf{j}+4 \mathbf{k}$
- $\overrightarrow{P R}=8 \mathbf{i}-5 \mathbf{j}+3 \mathbf{k}$

Find $\overrightarrow{R Q}$

$\overrightarrow{RQ}=(2\mathbf{i}-3\mathbf{j}+4\mathbf{k})-(8\mathbf{i}-5\mathbf{j}+3\mathbf{k})$ $\overrightarrow{RQ}=-6\mathbf{i}+2\mathbf{j}+\mathbf{k}$
M1
A1

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P4.7.3 - Vector addition and scalar multiplication question 1