Edexcel A-Level Mathematics A2 P4.7.3 Vector Addition and Scalar Multiplication Questions

Practise Edexcel IAL P4.7.3 vector addition: combine components, multiply by scalars, and interpret position-vector geometry.

Exam points

Add or subtract vectors component by component
Multiply a vector by a scalar to obtain a displacement or direction
Interpret vector operations geometrically using position vectors

[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 $\overrightarrow{R Q}$

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

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Edexcel A-Level Mathematics A2 P4.7.3 Vector Addition and Scalar Multiplication Questions question 1