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Carissa15

  • one year ago

I have a few questions with imaginary numbers. Please help.

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  1. Carissa15
    • one year ago
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    1. Plot the following complex numbers in the plain and compute Re z, Im z, Z, IzI and arg z. i) z1=3i

  2. ganeshie8
    • one year ago
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    \(z_1 = 3i = 0+3i\) so that goes \(0\) along Real axis and \(3\) along Imaginary axis : |dw:1443006330020:dw|

  3. Carissa15
    • one year ago
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    Not sure I understand how it got to 0+3i

  4. Carissa15
    • one year ago
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    It states to use z=x+iy

  5. ganeshie8
    • one year ago
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    \(3i\) is same as \(0+3i\)

  6. Carissa15
    • one year ago
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    Ok, so you dont't have to "move" the z1 to the RHS?

  7. Carissa15
    • one year ago
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  8. ganeshie8
    • one year ago
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    there is no "Real" component, so the complex number sticks vertically up

  9. Carissa15
    • one year ago
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    ok cool. Thanks. So the question is just asking for them to be plotted basically.

  10. ganeshie8
    • one year ago
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    Yes and you need to compute the mentioned quantities too

  11. Carissa15
    • one year ago
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    What will they be? Re z is real z. Im z is imaginary z.

  12. phi
    • one year ago
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    Yes Re z is the real part. if you have z= 3i (or 0 + 3i if we want to explicitly show the real part), then Re 3i = 0 and Im 3i = 3 the magnitude | z | is the length of the line from the origin to the point use pythagoras |z|^2 = x^2 + y^2 where x and y are the real and imaginary components the angle is the inverse tangent of y/x

  13. Carissa15
    • one year ago
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    Thank you everyone for your help. :)

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