If `|veca|=5 , |veca-vecb| = 8 and |veca +vecb|=10` then find `|vecb|`

Explanation

To solve the problem, we will use the properties of vector magnitudes and the dot product. We are given:

1. \(|\vec{a}| = 5\)
2. \(|\vec{a} - \vec{b}| = 8\)
3. \(|\vec{a} + \vec{b}| = 10\)

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

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