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.
+36916 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....
