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Math Help - modulus

  1. #1
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    modulus

    Lets say P and Q are both complex numbers . The modulus of P and Q are 1 and 2 respectively .

    The question is find the modulus for the complex numbers a , b and c with

    a=p^4 ,  b=q^2 , c=-ip

    so |a|=|p|^4 = 1^4 =1

     <br />
|b|=|q|^2 = 2^2<br />

    Am i right in saying that ???
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by thereddevils View Post
    Lets say P and Q are both complex numbers . The modulus of P and Q are 1 and 2 respectively .

    The question is find the modulus for the complex numbers a , b and c with

    a=p^4 ,  b=q^2 , c=-ip

    so |a|=|p|^4 = 1^4 =1

     <br />
|b|=|q|^2 = 2^2<br />

    Am i right in saying that ???
    it is right

    for c=-ip suppose that p=x+iy so \mid p \mid =\sqrt{x^2+y^2}=1

    \mid c\mid =\mid -i(x+iy) \mid = \mid -ix+y \mid = \sqrt{(-x)^2+y^2}=\sqrt{x^2+y^2} =1 from above
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  3. #3
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    Quote Originally Posted by Amer View Post
    \mid c\mid =\mid -i(x+iy) \mid = \mid -ix+y \mid = \sqrt{(-x)^2+y^2}=\sqrt{x^2+y^2} =1 from above
    Why not just notice that \left| {wz} \right| = \left| w \right|\left| z \right|\, \Rightarrow \,\left| { - ip} \right| = \left| { - i} \right|\left| p \right| = \left| p \right|?
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