The value of the expression `|vecaxxvecb|^(2)+(veca.vecb)^(2)` is….. .

Explanation

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

### Step 1: Write the definitions of the cross product and dot product
The magnitude of the cross product \( |\vec{a} \times \vec{b}| \) can be expressed as:
\[ |\vec{a} \times \vec{b}| = |\vec{a}| |\vec{b}| \sin \theta \]
where \( \theta \) is the angle between the vectors \( \vec{a} \) and \( \vec{b} \).
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