Find the value of the following
`| vec(a). vec(b)|^(2)+|vec(a)xx vec(b)|^(2)`

Explanation

To solve the problem \( | \vec{a} \cdot \vec{b} |^2 + | \vec{a} \times \vec{b} |^2 \), we can follow these steps:

### Step 1: Write the expressions for dot and cross products
The dot product of two vectors \( \vec{a} \) and \( \vec{b} \) is given by:
\[ \vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \theta \]
where \( \theta \) is the angle between the two vectors.
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