If (\hat{n\_1}, \hat{n\_2})are two unit vectors and (\theta)... | Physics | SolveeIt | Solveeit

Today, August 24

Question

If $\hat{n_1}, \hat{n_2}$ are two unit vectors and $\theta$ is the angle between them, then $\cos\frac{\theta}{2}$ is equal to

A

$\frac{1}{2}|\hat{n_1}+\hat{n_2}|$

B

$\frac{1}{2}|\hat{n_1}-\hat{n_2}|$

C

$\frac{1}{2}|\hat{n_1}.\hat{n_2}|$

D

$\frac{1\hat{n_1}\times\hat{n_2}}{2|\hat{n_1}||\hat{n_2}|}$

Answer

$\frac{1}{2}|\hat{n_1}+\hat{n_2}|$

Explanation

Solution

The correct answer is(A): $\frac{1}{2}|\hat{n_1}+\hat{n_2}|$