Question

What is the modulus and argument of the complex number -5i ? help is appreciated <3

Answer 1

Modulus is 5 and the argument is 3pi/2

Answer 2

\(\bf -5i\implies 0-5i\implies
\begin{array}{ccllll}
a&b\\
\hline\\
0&-5i
\end{array}\quad
\begin{array}{llll}
modulus\implies r=\sqrt{a^2+b^2}\\ \quad \\
\bf argument\implies \theta=tan^{-1}\left(\frac{b}{a}\right)
\end{array}\)

Answer 3

the "b" of course, doesn't include the 'i'

Answer 4

Thank you!

Answer 5

yw

Answer 6

Anytime babe!