One of the interpretations of i, ([square root of -1]), is a rotation of 90[degrees] counter clockwise (CCW) about the origin of the Argand diagram. To understand why this is the case, consider the number +1 on the real number line.
To demonstrate the idea that i is a rotation of 90[degrees] counter clockwise about the origin of the Argand diagram, consider what happens when a real number is multiplied by i.
Moreover, the "unceremonious" use here of the
Argand diagram may well pave the way, in future, to a more informal approach to the mystery and mysticism of "imaginary" and/or complex numbers.
Where do the real numbers lie in the Argand diagram?
(a) Plot the points 5 + 2i, -5 - 2i on the Argand diagram. How are these points related?