If `|veca|=2, |vecb|=5 and |vecaxxvecb|=8` then find the value of `veca.vecb`

Explanation

To solve the problem, we will use the relationships between the magnitudes of the vectors, the sine and cosine of the angle between them, and the properties of the dot and cross products.

Given:
- \(|\vec{a}| = 2\)
- \(|\vec{b}| = 5\)
- \(|\vec{a} \times \vec{b}| = 8\)

We need to find \(\vec{a} \cdot \vec{b}\).
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