Find the area of the parallelogram whose adjacent sides are represented by the vectors `hati+2hatj+3hatk` and `3hati-2hatj+hatk`.

Explanation

To find the area of the parallelogram whose adjacent sides are represented by the vectors \( \mathbf{a} = \hat{i} + 2\hat{j} + 3\hat{k} \) and \( \mathbf{b} = 3\hat{i} - 2\hat{j} + \hat{k} \), we can use the formula for the area of a parallelogram defined by two vectors, which is given by the magnitude of their cross product:

\[ \text{Area} = |\mathbf{a} \times \mathbf{b}| \]

### Step 1: Calculate the cross product \( \mathbf{a} \times \mathbf{b} \)

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