Determine the absolute value of each of the following complex numbers: a. z = 3 + 4i b. z = -1 - 2i.

EunoR

EunoR

Answered question

2021-02-09

Determine the absolute value of each of the following complex numbers:
a. z = 3 + 4i
b. z = -1 - 2i.

Answer & Explanation

Ezra Herbert

Ezra Herbert

Skilled2021-02-10Added 99 answers

Step 1
To find the absolute value of the given complex numbers.
a. Given complex number is z=3+4i
Absolute value of a complex number is the distance of complex number from origin.
It is given by ||z||
Absolute value of the given complex number will be:
|z|=(3)2+(4)2
=25
=5
Step 2
b. Given complex number is z=−1−2i
Absolute value of given complex number will be:
|z|=(1)2+(2)2
=5
Hence, absolute value is 5.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?