Find the unit vector in the direction of \(-2i + 5j\).

  • A \(\frac{1}{\sqrt{29}}(2i + 5j)\)
  • B \(\frac{1}{\sqrt{29}}(-2i + 5j)\)
  • C \(\frac{1}{29}(2i - 5j)\)
  • D \(\frac{1}{29}(-2i - 5j)\)
waec 2016furthermathematics

The correct answer is B. \(\frac{1}{\sqrt{29}}(-2i + 5j)\)

The unit vector, \(\hat{n}\) is given by \(\hat{n} = \frac{\overrightarrow{r}}{|\overrightarrow{r}|}\)

= \(\frac{(-2i + 5j)}{\sqrt{(-2)^{2} + 5^{2}}} = \frac{(-2i + 5j)}{\sqrt{29}}\)

= \(\frac{1}{\sqrt{29}}(-2i + 5j)\)

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