You’ve explored a variety of trigonometric applications and studied different coordinate systems in the process, namely the Cartesian (rectangular), the polar, and the complex coordinate systems. What do these coordinate systems have in common, and how is each system unique? How are the absolute value of an imaginary number, the magnitude of a force, and the distance between two points related to one another? What are the advantages and disadvantages of each system

Step-by-step explanation:

this idea is probably a good thing to have a solid understand of.   That Cartesian (rect) is the x and y components, of the legs of a triangle  and is a way to measure that part of the two leg of the triangle that is made up by those pieces.. while the polar system would measure the hypotenuse of that same triangle with the degrees as a way to place where that hypotenuses goes

the abs value of an imaginary number will give you that distance from the origin to the point.. if you are using that  sqrt ( + ) to get the abs.  this is the same as the magnitude and can represent a total force.  The distance between the origin and the point is that idea of two points.. conveniently we used (0,0) the origin as one of the points.. the other is at the top of the line or the point given by the complex number

Hopefully that helps...  :/