For two vectors \(\vec A\) and \(\vec B\), |\(\vec A\)+\(\vec B\)|=|\(\vec A\) - \(\vec B\)| is always true when:

(a) |\(\vec A\)| = |\(\vec B\)|  ≠ \(0\)
(b) \(\vec A\perp\vec B\)
(c) |\(\vec A\)| = |\(\vec B\)|  ≠ \(0\) and \(\vec A\) and \(\vec B\) are parallel or antiparallel.
(d) when either |\(\vec A\)| or |\(\vec B\)| is zero.

Choose the correct option from the given ones:
1. (a), (d)
2. (b), (c)
3. (b), (d)
4. (a), (b)