Find the unit vector in the direction of (-5i + 12j).

  • A \(\frac{1}{13}(-5i - 12j)\)
  • B \(\frac{1}{13}(5i - 12j)\)
  • C \(\frac{1}{13}(-5i + 12j)\)
  • D \(\frac{1}{13}(5i + 12j)\)
waec 2011furthermathematics

The correct answer is C. \(\frac{1}{13}(-5i + 12j)\)

The unit vector \(\hat{n} = \frac{\overrightarrow{r}}{|r|}\)

\(\hat{n} = \frac{-5i + 12j}{\sqrt{(-5)^{2} + (12)^{2}} \)

= \(\frac{-5i + 12j}{13} \)

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