Question

prove that |z1z2z3|=|z1||z2||z3|
in complex numbers where z=x+iy

Answer 1

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Answer 2

use euler's notation for complex numbers........
u will get it in two steps.
hope it helps.....

Answer 3

i try it but i cant

Answer 4

\[z1=r1\exp(i \theta1) \]
\[z2=r2\exp(i \theta2) \]
\[z3=r3\exp(i \theta3) \]
then multiply............
|exp(i theta)| = 1
hence it is r1*r2*r3 same as |z1|*|z2|*|z3|

Answer 5

are u sure that it is complex modulus multiplication

Answer 6

yup.......