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Find the magnitude and direction of the vector \(p = (5i - 12j)\)

Further Mathematics
WAEC 2017

Find the magnitude and direction of the vector \(p = (5i - 12j)\)

  • A. (13, 113.38°)
  • B. (13, 067.38°)
  • C. (13, 025.38°)
  • D. (13, 157.38°)
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Correct Answer: Option D
Explanation

\(p = (5i - 12j); |p| = \sqrt{5^{2} + (-12)^{2}}\)

= \(\sqrt{169} = 13\)

\(\tan\theta = \frac{-12}{5} = -2.4 \implies \theta = -67.38°\)

Direction = \(90° - (-67.38°) = 157.38°\)


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