Find the unit vector in the direction of the vector \(-12i + 5j\).
FURTHER MATHEMATICS
WAEC 2012
Find the unit vector in the direction of the vector \(-12i + 5j\).
- A. \(\frac{-12i}{13} - \frac{5j}{13}\)
- B. \(\frac{-1i}{13} + \frac{5j}{13}\)
- C. \(\frac{-12i}{13} + \frac{5j}{13}\)
- D. \(\frac{-5i}{13} + \frac{12j}{13}\)
Correct Answer: C. \(\frac{-12i}{13} + \frac{5j}{13}\)
Explanation
\(\hat{n} = \frac{\overrightarrow{n}}{|n|}\)
\(\hat{n} = \frac{-12i + 5j}{\sqrt{(-12)^{2} + (5)^{2}}}\)
= \(\frac{-12i}{13} + \frac{5j}{13}\)
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