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: 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})