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Consider the complex numbers in the following picture, as well as the line segments connecting them to the origin.
https://imgur.com/a/lcRlLxl

Here's a list of pairwise products of the complex numbers:\(z_1z_2, \, z_1 z_3, \, z_1 z_4, \, z_2 z_3, \, z_2 z_4, \, z_3 z_4.\)
Find the number of the quadrant each of these pairwise products is in.

 

 Jun 28, 2020
 #1
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Multiply the magnitudes and add the angles

z1z2   will still be in Q1 when you add the angles

z1z3    will be in Q2

z1z4                    Q3

You try the rest....

 Jun 28, 2020

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