MHB Understanding Complex Number Math: |iz^2|

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To find |iz^2| for a complex number z=rcis(theta), use the identity |z_1z_2|=|z_1|·|z_2|. The absolute value of i is 1, which simplifies the calculation. First, determine |z^2|, then multiply it by |i| to find |iz^2|. Understanding these properties of absolute values in complex numbers is crucial. This approach clarifies how to incorporate i into the absolute value calculation.
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Complex numbers
If z=rcis(theta) FIND: |iz^2|
I am confused about how I incorporate the i into the absolute value. I can't remember what it means. Please help and show exactly how I complete the workings. I can easily find the absolute value of z^2 I just really don't understand how to put the i into it.
Thank you!
 
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Hi, and welcome to the forum.

You should use the identity $|z_1z_2|=|z_1|\cdot|z_2|$. For the rest, please see this section on Wikipedia.
 
The absolute value of i is 1!
 
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