When is the magnitude of `(vecA+vecB)` equal to the magnitude of `(vecA-vecB)` ?

Explanation

To determine when the magnitude of \(\vec{A} + \vec{B}\) is equal to the magnitude of \(\vec{A} - \vec{B}\), we can follow these steps:

### Step 1: Write the expressions for the magnitudes
The magnitude of the vector sum \(\vec{A} + \vec{B}\) is given by:
\[ |\vec{A} + \vec{B}| = \sqrt{|\vec{A}|^2 + |\vec{B}|^2 + 2|\vec{A}||\vec{B}|\cos\theta} \]
where \(|\vec{A}|\) and \(|\vec{B}|\) are the magnitudes of vectors \(\vec{A}\) and \(\vec{B}\), respectively, and \(\theta\) is the angle between them.
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