If a is the angle made by the vector (\overrightarrow{a}=5\h... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

If a is the angle made by the vector $\overrightarrow{a}=5\hat{i}+3\hat{j}+4\hat{k}$ with the positive x-axis, then cosa =

A

$\frac{5}{12}$

B

$\frac{1}{2}$

C

$\frac{\sqrt2}{2}$

D

$\frac{\sqrt5}{5}$

E

$\frac{\sqrt2}{10}$

Answer

$\frac{\sqrt2}{2}$

Explanation

Solution

The correct option is (C): $\frac{\sqrt2}{2}$