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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
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
Have you looked in your book? It should have several examples of graphing complex numbers.Graph the following numbers on a complex plane.
tg22542 said:So use an xaxis of -4i to 4i and a y-axis of -1 to 3 then simply plot them?
A complex plane is a mathematical representation of complex numbers. It is a two-dimensional graph where the x-axis represents the real part of a complex number and the y-axis represents the imaginary part. It allows us to visualize and perform operations on complex numbers.
Numbers on a complex plane are represented by a point, where the x-coordinate represents the real part and the y-coordinate represents the imaginary part. The origin (0,0) represents the number 0, and moving right on the x-axis represents positive real numbers, while moving left represents negative real numbers. Moving up on the y-axis represents positive imaginary numbers, while moving down represents negative imaginary numbers.
The modulus of a complex number is the distance from the origin to the point representing that number on the complex plane. It is calculated using the Pythagorean theorem, where the real and imaginary parts of the number are the legs of a right triangle and the modulus is the hypotenuse.
To add or subtract complex numbers on a complex plane, we simply add or subtract the corresponding real and imaginary parts. This can be visualized by moving the points representing the numbers on the complex plane.
Yes, we can multiply and divide complex numbers on a complex plane using the same rules as we do for real numbers. To multiply, we multiply the moduli and add the arguments (angles) of the numbers. To divide, we divide the moduli and subtract the arguments. This can also be visualized on the complex plane by finding the new point representing the result of the operation.