If ` hat aa n d hat b` are unit vectors inclined at an angle `theta` , then prove that `sintheta/2=1/2| hat a- hat b|dot`

Explanation

To prove that \(\frac{\sin \theta}{2} = \frac{1}{2} |\hat{a} - \hat{b}|\), where \(\hat{a}\) and \(\hat{b}\) are unit vectors inclined at an angle \(\theta\), we can follow these steps:

### Step 1: Understand the properties of unit vectors
Since \(\hat{a}\) and \(\hat{b}\) are unit vectors, we have:
\[ |\hat{a}| = 1 \quad \text{and} \quad |\hat{b}| = 1 \]

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