The diagonals of a parallelogram are expressed as `vecA=5hati+5hatj+3hatk` and `hatB=3hatj-2hatj-hatk`.
Calculate the magnitude of area of this parallelogram.

Explanation

To calculate the magnitude of the area of the parallelogram given the diagonals \(\vec{A} = 5\hat{i} + 5\hat{j} + 3\hat{k}\) and \(\vec{B} = 3\hat{i} - 2\hat{j} - \hat{k}\), we can follow these steps:

### Step 1: Write down the formula for the area of the parallelogram
The area \(A\) of a parallelogram when the diagonals are given is calculated using the formula:
\[ A = \frac{1}{2} |\vec{A} \times \vec{B}| \]

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