Prove that \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}\right|^{2}+\... VIDEO
Prove that \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} \) if and only if \( \left(\frac{z_{1}}{z_{2}}\right) \) is purely imaginary.
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