Question

Using the origin as the initial point, how do you draw the vector that represents the complex number `3 + 5i`?

Answer 1

With the origin with coordinates `(0,0)`, the number `3 + 5i` is associated with the ordered pair `(3,5)` on the two dimensional cartesian plane.

Thus a vector `vec z = 3hati + 5hatj` represents the point on the complex plane where `hati` and `hatj` are unit vectors along the `x` and `y` axes respectively.