Find the unit vector in the direction of (-2i + 5j).
-
A.
(frac{1}{sqrt{29}}(2i + 5j)) -
B.
(frac{1}{sqrt{29}}(-2i + 5j)) -
C.
(frac{1}{29}(2i – 5j)) -
D.
(frac{1}{29}(-2i – 5j))
Correct Answer: Option B
Explanation
The unit vector, (hat{n}) is given by (hat{n} = frac{overrightarrow{r}}{|overrightarrow{r}|})
= (frac{(-2i + 5j)}{sqrt{(-2)^{2} + 5^{2}}} = frac{(-2i + 5j)}{sqrt{29}})
= (frac{1}{sqrt{29}}(-2i + 5j))