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: Option C
Explanation
The unit vector (hat{n} = frac{overrightarrow{r}}{|r|})
(hat{n} = frac{-5i + 12j}{sqrt{(-5)^{2} + (12)^{2}} )
= (frac{-5i + 12j}{13} )