Vectors, EXT1 EQ-Bank 3 MC

Given that \(\overrightarrow{OP}=\left(\begin{array}{c}-3 \\ 1 \\ -1\end{array}\right)\) and \(\overrightarrow{O Q}=\left(\begin{array}{c}2 \\ 5 \\ -3\end{array}\right)\), what is \(\overrightarrow{P Q}\) ?

\(\left(\begin{array}{c}1 \\ -6 \\ 4\end{array}\right)\)
\(\left(\begin{array}{c}-1 \\ 6 \\ -4\end{array}\right)\)
\(\left(\begin{array}{c}5 \\ 4 \\ -2\end{array}\right)\)
\(\left(\begin{array}{c}-5 \\ -4 \\ 2\end{array}\right)\)

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\(C\)

Show Worked Solution

\(\overrightarrow{PQ}=\overrightarrow{O Q}-\overrightarrow{O P}=\left(\begin{array}{c}2 \\ 5 \\ -3\end{array}\right)-\left(\begin{array}{c}-3 \\ 1 \\ -1\end{array}\right)=\left(\begin{array}{c}5 \\ 4 \\ -2\end{array}\right)\)

\(\Rightarrow C\)