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Math Help - Graphical Interpretation For Division

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    Graphical Interpretation For Division

    I have looked all through my text book and even bought a pre-calc for dummies but I cannot find the correct way to graph this. I was supposed to create my own equation solve then show a graphical interpretation showing how to divide complex numbers solely using the graph of each complex number.
    I did the equation 7 + 4i/2-5i with the end result being -6/29 + 43/29i. I talked to my coach about this and she told me to google the parallelogram theorem but so far I am not finding anything that can help me. Can someone please help break this down for me?
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    Re: Graphical Interpretation For Division

    Quote Originally Posted by princeslolypop View Post
    I have looked all through my text book and even bought a pre-calc for dummies but I cannot find the correct way to graph this. I was supposed to create my own equation solve then show a graphical interpretation showing how to divide complex numbers solely using the graph of each complex number.
    I did the equation 7 + 4i/2-5i with the end result being -6/29 + 43/29i. I talked to my coach about this and she told me to google the parallelogram theorem but so far I am not finding anything that can help me. Can someone please help break this down for me?
    You should know that if \displaystyle z_1 = r_1\,\textrm{cis}\,\theta_1 and \displaystyle z_2 = r_2\,\textrm{cis}\,\theta_2, the rule for multiplying complex numbers is

    \displaystyle z_1z_2 = r_1r_2\,\textrm{cis}\left(\theta_1 + \theta_2\right)

    It follows that division of complex numbers is

    \displaystyle \frac{z_1}{z_2} = \frac{r_1}{r_2}\,\textrm{cis}\left(\theta_1 - \theta_2\right)
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