How Do You Plot Complex Numbers on a Plane?

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Homework Help Overview

The discussion revolves around plotting complex numbers on a complex plane, specifically the numbers 3-2i, -4, -2+i, -3i, and -1-4i. Participants are exploring how to interpret the instructions and visualize the complex plane.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to understand the layout of the complex plane and how to represent complex numbers graphically. Questions include how to start plotting and the correct orientation of the axes.

Discussion Status

Some guidance has been offered regarding the orientation of the axes, with clarification that the x-axis represents real numbers and the y-axis represents imaginary numbers. There is an ongoing exploration of how to accurately plot the given complex numbers.

Contextual Notes

Participants are referencing potential resources such as textbooks for examples of graphing complex numbers, indicating a reliance on external materials for further understanding.

tg22542
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Homework Statement



Graph the following numbers on a complex plane.

A) 3-2i
B)-4
C)-2+i
D)-3i
D)-1-4i

Can smomeone help me how to get started on this question? I'm not sure what it wants me to do
 
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First, find out what the complex plane looks like. (Hint: it looks just like a regular plane, except the y values are -4i, -3i, ..., 3i, 4i.

Plot A) thru B) from the OP and label the points.

Your work with complex numbers will get MUCH harder from this point.
 
Do you know how to plot (3, -2) on a graph?
 
So use an xaxis of -4i to 4i and a y-axis of -1 to 3 then simply plot them?
 
tg22542 said:

Homework Statement



Graph the following numbers on a complex plane.

A) 3-2i
B)-4
C)-2+i
D)-3i
D)-1-4i

Can smomeone help me how to get started on this question? I'm not sure what it wants me to do

The instructions are pretty clear to me -
Graph the following numbers on a complex plane.
Have you looked in your book? It should have several examples of graphing complex numbers.
 
tg22542 said:
So use an xaxis of -4i to 4i and a y-axis of -1 to 3 then simply plot them?

No, you have your axes the wrong way around. The x-axis corresponds to the real numbers, and the y-axis to the imaginary numbers. To plot a number [itex]z = a+ib[/itex], you plot (a,b) and you label your real axis (x-axis) as Re(z) and your imaginary axis as Im(z).

Also note that [itex]a = a+i0[/itex] and [itex]ib=0+ib[/itex]
 

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