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Example Questions
Example Question #11 : Complex Numbers
The following graph represents which one of the following?
Possible Answers:
Correct answer:
Explanation:
The above image is a graphic representation of subtraction of complex numbers (which are represented by vectors and
. We can take any complex number
and graph it as a vector, measuring
units in the x direction and
units in the y direction. Therefore
. Likewise,
.
To help us visualize subtraction, instead of thinking about taking , we should instead visualize
. The below figure shows
with a dotted line. Visually, the resultant vector
lies in between the vectors
and
. Algebraically, we get
or
. Either way you think about it, the resulting vector is
Robert
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Daytona State College, Bachelor in Arts, Teaching English as a Second Language (ESL).
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