Area of a parallelogram, whose diagonals are `3hati+hatj-2hatk and hati-3hatj+4hatk` will be:

Explanation

To find the area of a parallelogram whose diagonals are given by the vectors \( \mathbf{A} = 3\hat{i} + \hat{j} - 2\hat{k} \) and \( \mathbf{B} = \hat{i} - 3\hat{j} + 4\hat{k} \), we can follow these steps:

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