Find the unit vector in the direction of the vector \(-12i + 5j\).
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Correct Answer: Option C
Explanation:
\(\hat{n} = \frac{\overrightarrow{n}}{|n|}\)
\(\hat{n} = \frac{-12i + 5j}{\sqrt{(-12)^{2} + (5)^{2}}}\)
= \(\frac{-12i}{13} + \frac{5j}{13}\)
\(\hat{n} = \frac{\overrightarrow{n}}{|n|}\)
\(\hat{n} = \frac{-12i + 5j}{\sqrt{(-12)^{2} + (5)^{2}}}\)
= \(\frac{-12i}{13} + \frac{5j}{13}\)