Find the unit vector in the direction of (-5i + 12j).
FURTHER MATHEMATICS
WAEC 2011
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. \(\frac{1}{13}(5i + 12j)\)
Correct Answer: C. \(\frac{1}{13}(-5i + 12j)\)
Explanation
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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