3. Graphical Representation of Complex Numbers
by M. Bourne
We can represent complex numbers in the complex plane.
We use the horizontal axis for the real part and the vertical axis for the imaginary part.
Example:
The number 3 + 2j is represented by:
A is the representation of the complex number 3 + 2j.
Adding Complex Numbers Graphically
We can add complex numbers graphically. [This is the same idea as adding vectors graphically. See more at Adding 2D Vectors]
Example:
Add 1 + 2j and 3 - j graphically.
Answer:
Need Graph Paper?
We add the complex numbers by setting up a parallelogram. The solution is (4 +
j).
Exercise
Perform graphically: (3 - 2j) + (-1 - j)
Answer:
The answer is 2 − 3j.
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