Prove that the vectors `A = 2 hat i - 3 hat j+hat k` and `B= hat i+hat j + hat k` are mutually perpendicular.

Explanation

To prove that the vectors \( \mathbf{A} = 2\hat{i} - 3\hat{j} + \hat{k} \) and \( \mathbf{B} = \hat{i} + \hat{j} + \hat{k} \) are mutually perpendicular, we can use the dot product of the two vectors. If the dot product is zero, then the vectors are perpendicular.

### Step-by-Step Solution:

**Step 1: Write down the vectors.**
\[ \mathbf{A} = 2\hat{i} - 3\hat{j} + \hat{k} \]
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