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Year 12 Maths Extension 1 Vectors

Vectors in Two Dimensions

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Question 1
64545

The column vector notation of four vectors is shown below.
$$
P=\left(\begin{array}{l}
-8 \\
-8
\end{array}\right) \quad Q=\left(\begin{array}{l}
3 \\
6
\end{array}\right) \quad R=\left(\begin{array}{l}
1 \\
5
\end{array}\right) \quad S=\left(\begin{array}{c}
-5 \\
7
\end{array}\right)
$$

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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