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Thread: complex numbers

  1. #1
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    complex numbers

    complex numbers-win_20161112_18_16_23_pro.jpg

    does anyone know if my labels are right. i dont understand the two points re(z3)=0 and im(z4)=0
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  2. #2
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    Re: complex numbers

    swap $z_3$ and $z_4$

    On the complex plane, (x,y) = (real, imaginary)
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  3. #3
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    Re: complex numbers

    Let's see.

    $Im(z_1)>0$ applies to all but the point on the x axis

    $z_2 = 10z_1$ means that $|z_2| = 10|z_1|$

    $Re(z_3) = 0$ means $z_3$ lies on the imaginary axis. This is the point you've labeled $z_4$

    $Im(z_4) = 0$ means $z_4$ lies on the real axis. This is the point you've labeled $z_3$

    So we've got $z_3,~z_4$ figured out.

    $z_1,~z_2$ must be as you've labeled them.

    So swap, $z_3, ~z_4$ and you're good.
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