If \( \left|z_{1}+z_{2}\right|=\left|z_{1}-z_{2}\right| \), then the difference in the amplitude...

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If \( \left|z_{1}+z_{2}\right|=\left|z_{1}-z_{2}\right| \), then the difference in the amplitudes of \( z_{1} \) and \( z_{2} \) is
(A) \( \frac{\pi}{4} \)
(B) \( \frac{\pi}{3} \)
(C) \( \frac{\pi}{2} \)
(D) undefined
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