If `|veca+vecb|=|veca-vecb|` show that `veca_|_vecb`.

Explanation

To prove that \(\vec{a} \perp \vec{b}\) given that \(|\vec{a} + \vec{b}| = |\vec{a} - \vec{b}|\), we can follow these steps:

### Step-by-Step Solution:

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