Unit vector `hat(P)` and `hat(Q)` are inclined at an angle `theta`. Prove that `|hat(P)-hat(Q)|= 2 sin(theta//2)`.

Explanation

To prove that the magnitude of the difference between two unit vectors \(\hat{P}\) and \(\hat{Q}\) inclined at an angle \(\theta\) is given by \(|\hat{P} - \hat{Q}| = 2 \sin\left(\frac{\theta}{2}\right)\), we can follow these steps:

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

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