Find the components of a unit vector which is perpendicular to the vectors ` hat i+2 hat j- hat ka n d 3hat i- hat j+2 hat kdot`

Explanation

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

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

### Step 2: Set up the unit vector
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