Find a unit vector perpendicular to each of the vectors `hat(i)+2hat(j)-3hat(k)` and `hat(i)-2hat(j)+hat(k)`.

Explanation

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

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

### Step 2: Cross Product of the Vectors
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