Find the area of the parallelogram determined by the vectors: `3 hat i+ hat j-2 hat k\ a n d\ hat i-3 hat j+4 hat k`

Explanation

To find the area of the parallelogram determined 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
We have two vectors:
- \( \mathbf{A} = 3\hat{i} + \hat{j} - 2\hat{k} \)
- \( \mathbf{B} = \hat{i} - 3\hat{j} + 4\hat{k} \)

### Step 2: Compute the cross product \( \mathbf{A} \times \mathbf{B} \)
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