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Year 12 Maths Extension 1 Vectors

Vectors in Two Dimensions

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Question 1
64545

The position vectors of four points \(P\), \(Q\), \(R\) and \(S\) are shown below.
\[P=\left(\begin{array}{c} -8 \\ -8 \end{array}\right) \quad Q=\left(\begin{array}{c} 3 \\ 6 \end{array}\right) \quad R=\left(\begin{array}{c} 1 \\ 5 \end{array}\right) \quad S=\left(\begin{array}{c} -5 \\ 7 \end{array}\right)\]

Find

(i) \(\overrightarrow{P Q}\)

(ii) \(\overrightarrow{R S}\)

(iii) \(-\overrightarrow{P Q}-\overrightarrow{R S}\)

i) \(\left(\begin{array}{l}11 \\ 14\end{array}\right)\)

ii) \(\left(\begin{array}{l}-6 \\ 2\end{array}\right)\)

iii) \(\left(\begin{array}{l}-5 \\ -16\end{array}\right)\)

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