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Express (14N, 240°) as a column vector.

Further Mathematics
WAEC 2014

Express (14N, 240°) as a column vector.

  • A. \(\begin{pmatrix} -7 \\ -7\sqrt{3} \end{pmatrix}\)
  • B. \(\begin{pmatrix} 7\sqrt{3} \\ 7\sqrt{3} \end{pmatrix}\)
  • C. \(\begin{pmatrix} -7\sqrt{3} \\ -7 \end{pmatrix}\)
  • D. \(\begin{pmatrix} 7 \\ -7\sqrt{3} \end{pmatrix}\)
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Correct Answer: Option A
Explanation

\(F = \begin{pmatrix} F_{x} \\ F_{y} \end{pmatrix} = \begin{pmatrix} F\cos \theta \\ F\sin \theta \end{pmatrix}\)

\((14N, 240°) = \begin{pmatrix} 14\cos 240 \\ 14\sin 240 \end{pmatrix}\)

= \(\begin{pmatrix} 14 \times -0.5 \\ 14 \times \frac{-\sqrt{3}}{2} \end{pmatrix}\)

= \(\begin{pmatrix} -7 \\ -7\sqrt{3} \end{pmatrix}\)


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free