Question

Graph the complex number and find its modulus.

$-3i$

Short answer

The modulus of the complex number -3iis $\left|z\right|=3$.

Step-by-step solution

Step 1. Given Information.

The given complex number is $-3i$.

The modulus of the number is found using the formula $\left|z\right|=\sqrt{a^2+b^2}$

Step 2. Applying the operations.

The given complex number is$-3i$. Comparing with standard form of complex number$z=a+ib$.

Here a=--3 and b =0

Using the formula$\left|z\right|=\sqrt{a^2+b^2}$

$\Rightarrow \left|z\right|=\sqrt{{(-3)}^2+0^2}$

$\Rightarrow \left|z\right|=3$