Find a unit vector perpendicular to both the vectors `2hati+3hatj+hatk) and (hati-hatj+2hatk)`.

Explanation

To find a unit vector that is perpendicular to both vectors \( \mathbf{A} = 2\hat{i} + 3\hat{j} + \hat{k} \) and \( \mathbf{B} = \hat{i} - \hat{j} + 2\hat{k} \), we will follow these steps:

### Step 1: Identify the vectors
Let:
- \( \mathbf{A} = 2\hat{i} + 3\hat{j} + \hat{k} \)
- \( \mathbf{B} = \hat{i} - \hat{j} + 2\hat{k} \)

### Step 2: Calculate the cross product \( \mathbf{C} = \mathbf{A} \times \mathbf{B} \)
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