Vectors - Vectors in a Parallelogram
Vectors - Vectors in a Parallelogram
Secondary 4
The \(1\) unit by \(1\) unit square grid below shows the positions of point \(A\), \(B\) and \(P\).
- Express \(\overrightarrow{AB}\) and \(\overrightarrow{PB}\) as column vectors.
- \(Q\) is a point such that \(ABQP\) is a parallelogram. Express \(\overrightarrow{BQ}\) as a column vector.
- \(R\) is a point such that \(ABPR\) is a parallelogram. Express \(\overrightarrow{BR}\) as a column vector.
- Do the two vectors \(\overrightarrow{PQ}\) and \(\overrightarrow{PR}\) have the same magnitude? Is \(\overrightarrow{PQ} = \overrightarrow{PR}\)? Explain.
Similar questions are unavailable for this question.
Answer:(i) \(\overrightarrow{AB}=\left( \begin{matrix}
-4 \\
2 \\
\end{matrix} \right)\), \(\overrightarrow{PB}=\left( \begin{matrix}
-6 \\
-4 \\
\end{matrix} \right)\) (ii) \(\left( \begin{matrix}
2 \\
6 \\
\end{matrix} \right)\) (iii) \(\left( \begin{matrix}
10 \\
2 \\
\end{matrix} \right)\)
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