Question

How do you plot `-5i` and find its absolute value?

Answer 1

The point `(0,-5)` on the complex plane.
Absolute value `=5`

Explanation:

Let the complex number `z= -5i`

Hence, the real part of `z = 0` and the imaginary part of `z=-5i`

`:. z= 0-5i`

Hence, `z` is the point `(0, -5)` on the complex plane.

By definition the absolute value of `z` is `sqrt(0^2+(-5)^2)`

`= sqrt25 = 5`