If `|hata+hatb|=|hata-hatb|`, then find the angle between `veca and vecb`

Explanation

To solve the problem, we need to find the angle between two vectors \(\vec{a}\) and \(\vec{b}\) given that \(|\hat{a} + \hat{b}| = |\hat{a} - \hat{b}|\).

### Step-by-Step Solution:

1. **Start with the given equation**:
\[ |\hat{a} + \hat{b}| = |\hat{a} - \hat{b}| \]
...