Question

Plot a complex number 4i and graph. Specify the absolute value of the number.

Functions
ANSWERED
asked 2021-08-04
Plot a complex number graph. Specify the absolute value of the number.
4i

Expert Answers (1)

2021-08-05

Step 1
The given expression is 4i.
The Cartesian point in complex plane is (0,4).
The graph is shown below:

Step 2
The distance formula for points on the Cartesian plane:\(\displaystyle{d}=\sqrt{{{\left({x}_{{{2}}}-{x}_{{{1}}}\right)}^{{{2}}}+{\left({y}_{{{2}}}-{y}_{{{1}}}\right)}^{{{2}}}}}\).
\(\displaystyle{d}=\sqrt{{{\left({0}-{0}\right)}^{{{2}}}+{\left({0}-{4}\right)}^{{{2}}}}}\)
\(\displaystyle=\sqrt{{{0}+{16}}}\)
=4
The absolute value of the number 4i is 4.

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