Given that (p = 4i + 3j), find the unit vector in the direction of p.
-
A.
(frac{1}{3}(4i + 3j)) -
B.
(frac{1}{3}(3i + 4j)) -
C.
(frac{1}{5}(3i + 4j)) -
D.
(frac{1}{5}(4i + 3j))
Correct Answer: Option D
Explanation
(hat {n} = frac{overrightarrow{p}}{|p|})
where (hat {n}) is the unit vector in the direction of p.
(|p| = sqrt{4^{2} + 3^{2}} = sqrt{25} = 5)
(hat {n} = frac{1}{5} (4i + 3j))