Determine the absolute value of each of the following complex numbers:a. z = 5 + 12i b. 2 - 3i.

necessaryh

necessaryh

Answered question

2021-03-11

Determine the absolute value of each of the following complex numbers:
a. z=5+12i
b. 23i.

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-03-12Added 86 answers

a. The absolute value of a complex number is its distance from the origin. If z=a+bi, then |z|=|a+bi|=a2+b2
The absolute value of a complex number z=5+12i is,
|z|=|5+12i|=52+122=25+144=169=13
b. The absolute value of a complex number z=23i is,
|Z|=|23i|=22+(3)2=4+9=13

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