For vectors `vecA=3hati-4hatj+5hatk and vecB=hati-hatj-hatk`, calculate the value of `(vecA+vecB)xx(vecA-vecB)`

Explanation

To solve the problem, we need to calculate the value of \((\vec{A} + \vec{B}) \times (\vec{A} - \vec{B})\) where \(\vec{A} = 3\hat{i} - 4\hat{j} + 5\hat{k}\) and \(\vec{B} = \hat{i} - \hat{j} - \hat{k}\).

### Step 1: Calculate \(\vec{A} + \vec{B}\)

\[ \vec{A} + \vec{B} = (3\hat{i} - 4\hat{j} + 5\hat{k}) + (\hat{i} - \hat{j} - \hat{k}) \]

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