SOLUTION: I am trying to find a way to graphically prove dividing two complex numbers. When I add to complex numbers I can prove it by using the parallelogram method. How can I prove divid

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Question 454435: I am trying to find a way to graphically prove dividing two complex numbers. When I add to complex numbers I can prove it by using the parallelogram method. How can I prove dividing complex numbers?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Perhaps use Euler's formula, which says that



Suppose we want to divide two arbitrary complex numbers (a+bi)/(c+di). If we suppose


(alpha, beta are the arguments of the complex numbers)

Then,



Graphing this number isn't too difficult. Here, we locate the complex number with argument alpha - beta and magnitude 1, then scale it by that coefficient on the left. That is the quotient of the two complex numbers.