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Establish associative law of multiplication

  1. Feb 1, 2009 #1
    1. The problem statement, all variables and given/known data
    Establish associative law of multiplication by considering absolute values and arguements.
    z1(z2z3)=(z1z2)z3


    2. Relevant equations



    3. The attempt at a solution
    I think I need to use r(costheta +isintheta)
    r1(costheta1+isintheta1)[r2r3(costheta2+isintheta2)(costheta3+isintheta3)]=
    Is this just a bunch of multiplying out and showing it's the same?
     
  2. jcsd
  3. Feb 1, 2009 #2

    Dick

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    Science Advisor
    Homework Helper

    Yes. The magnitudes multiply and the arguments add. Both operations are associative.
     
  4. Feb 2, 2009 #3
    Ok, I think I see.
     
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