Show that `(veca-vecb)xx(veca+vecb)=2vecaxx vecb` and give a geometrical interpretation of it.

Explanation

To prove the equation \((\vec{a} - \vec{b}) \times (\vec{a} + \vec{b}) = 2 \vec{a} \times \vec{b}\), we will use the properties of the cross product. Let's break it down step by step.

### Step 1: Expand the Left-Hand Side
We start with the left-hand side of the equation:
\[ (\vec{a} - \vec{b}) \times (\vec{a} + \vec{b}) \]
Using the distributive property of the cross product, we can expand this:
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