SOLUTION: What is the absolute value of the complex number of {{{ z = a + bi }}}? A.) | a | B.) | b | C.) The distance from a to b in a complex plane. D.) The distance from the origin t

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Question 1071883: What is the absolute value of the complex number of +z+=+a+%2B+bi+?
A.) | a |
B.) | b |
C.) The distance from a to b in a complex plane.
D.) The distance from the origin to the point (a,b) in a complex plane.

Found 2 solutions by KMST, ikleyn:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
D The absolute value is the distance to the origin.
For real numbers, you measure it along the number line.
Complex number are 2-dimensional, so you plot them on a "complex plane."
Complex number z is represented by point (a,b),
and it's absolute value is its distance to (0,0),
the origin.

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
On complex numbers, see the introductory lessons
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane

    - Solved problems on arithmetic operations on complex numbers
In this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".