Question

z1= 0 + i and z₂ = -2+0i, verify the following: (a) | z1. z₂|=|z₁|. | z₂|
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Answer 1

Answer:

$|z1z2| = |z1| |z2|$

HENCE PROVED

Step-by-step explanation:

$z1 = 0 + i \\ \\ z2 = - 2 + 0i \\ \\ z1z2 = i( - 2) = - 2i \\ \\ |z1z2| = | - 2i| \\ \\ = 2...(i) \\ \\ |z1| |z2| = |i| . | - 2| \\ \\ = 2...(ii) \\ \\ from \: (i) \: \: \: and \: \: \: (ii) \\ \\ |z1z2| = |z1| |z2|$