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If \(\overrightarrow{OX} = \begin{pmatrix} -7 \\ 6 \end{pmatrix}\) and \(\overrightarrow{OY} = \begin{pmatrix} 16 \\ -11...

Further Mathematics
WAEC 2018

If \(\overrightarrow{OX} = \begin{pmatrix} -7 \\ 6 \end{pmatrix}\) and \(\overrightarrow{OY} = \begin{pmatrix} 16 \\ -11 \end{pmatrix}\), find \(\overrightarrow{YX}\).

  • A. \(\begin{pmatrix} 9 \\ -5 \end{pmatrix}\)
  • B. \(\begin{pmatrix} -23 \\ -5 \end{pmatrix}\)
  • C. \(\begin{pmatrix} 9 \\ 17 \end{pmatrix}\)
  • D. \(\begin{pmatrix} -23 \\ 17 \end{pmatrix}\)
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Correct Answer: Option D
Explanation

\(\overrightarrow{OY} \equiv -\overrightarrow{YO}\)

Also, \(\overrightarrow{YO} + \overrightarrow{OX} = \overrightarrow{YX}\)

\(\therefore \overrightarrow{YO} = -\overrightarrow{OY} = - \begin{pmatrix} 16 \\  -11  \end{pmatrix} = \begin{pmatrix} -16 \\ 11  \end{pmatrix}\)

\(\overrightarrow{YX} = \begin{pmatrix}  -16 \\ 11  \end{pmatrix}  + \begin{pmatrix}  -7  \\  6   \end{pmatrix}\)

= \(\begin{pmatrix}  -23  \\  17  \end{pmatrix}\)


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JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
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