Question

Drawing out 3D lines with extra complex numbers.

Answer 1

So there's a circle in the plane of the paper that just has regular complex numbers, but at the tip we are using \[\Large e^{j \phi}\] so it still has a real component but it's at the very tip and if it has its j component 0, all it does is either add or subtract on to the vector already there.

Answer 2

So it's kind of like a moving coordinate circle that will sweep out the path of a donut