Which of the following is correct for any two complex numbers z1 and z – InterviewSolution

1.	Which of the following is correct for any two complex numbers z1 and z2?(a) z1z2=z1z2(b) argz1z2=argz1 argz2(c) z1+z2=z1+z2(d) z1+z2≥z1+z2
Answer» Which of the following is correct for any two complex numbers z₁ and z₂? (a) $\|z_{1} z_{2}\| = \|z_{1}\| \|z_{2}\|$ (b) $\arg (z_{1} z_{2}) = \arg (z_{1}) \arg (z_{2})$ (c) $\|z_{1} + z_{2}\| = \|z_{1}\| + \|z_{2}\|$ (d) $\|z_{1} + z_{2}\| \geq \|z_{1}\| + \|z_{2}\|$

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