Question #5c21e

1 Answer
Dec 16, 2017

In a word, no. Details below...

Explanation:

The complex plane consists of the complex axis in the direction of the y-axis in a Cartesian plane. What corresponds to the x-axis is the real number axis.

So, a line pointing at 45° could be considered as having equal "rise" and "run" (as in equal x- and y-components in the Cartesian plane).

In order to do this, the line must have equal real and complex components, such as the complex number 1 + i

#i/2# would be a shorter vertical line but would still point at 90° to the real axis.