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Plot e on an Argand Diagram

  1. Oct 20, 2011 #1
    1. The problem statement, all variables and given/known data
    Plot 3e^(-i5∏/3) on an Argand Diagram



    3. The attempt at a solution

    Re(e^iθ) = cosθ = cos(-5∏/3) = 1/2

    Im(e^iθ) = sinθ = sin(-5∏/3) = √3 / 2

    So I'd go along the x-axis to 1/2 and then upwards in the y-direction to √3 / 2 and plot the point there.

    Is this the way you would go about doing this question, or some other method?

    Is my answer correct?

    Thanks!

    P.S. I think I'm supposed to multiply by 3, but at what point do I do this? Exactly what is it that I should multiply by 3?
     
    Last edited: Oct 20, 2011
  2. jcsd
  3. Oct 20, 2011 #2

    eumyang

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    Homework Helper

    As you said, yes, you need to multiply the coordinates by 3. What you have above should be
    Re(re^iθ) = r cos θ = ...
    Im(re^iθ) = r sin θ = ...
     
  4. Oct 20, 2011 #3
    Ok, thank you eumyang.
     
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