Answer:
-3 + 9i
Step-by-step explanation:
The conjugate of -3i is - 3 - i.
(- 3 i) × (- 3 - i)
Multiply both terms.
-3 + 9i
The multiplication of the complex number -3i and it’s conjugate 3i is 9.
A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.
For the given situation,
The complex number is -3i.
The conjugate of a complex number a+bi is a-bi.
So, the conjugate of a complex number [tex]-3i[/tex] is [tex]3i[/tex]
Now multiply -3i and 3i, we get
⇒ [tex](-3i)(3i)[/tex]
⇒ [tex]-9(i^{2} )[/tex]
⇒ [tex]-9(-1)[/tex] [∵ [tex]i^{2}=-1[/tex]]
⇒ [tex]9[/tex]
Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.
Learn more about complex numbers here
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