Complex Numbers problem

  • #1

Homework Statement


If Z1+Z2+Z3=0 and Z1*Z2 + Z2*Z3 + Z3*Z1=0 and Z1, Z2, Z3 are all complex, what is the value of
(|z1|+|z2|+|z3|)/(|z1*z2|+|z2*z3|+|z3*z1|)

Homework Equations




The Attempt at a Solution



I tried to multiply the equations by the product of all conjugates and reach some equations but it lead to nothing in the end.[/B]
 

Answers and Replies

  • #2
13,046
6,930
Is this the whole problem or is there some more info about z1, z2 and z3 like being the vertices of some figure?

Also you need to show your work before we can help.
 
  • #3
member 587159

Homework Statement


If Z1+Z2+Z3=0 and Z1*Z2 + Z2*Z3 + Z3*Z1=0 and Z1, Z2, Z3 are all complex, what is the value of
(|z1|+|z2|+|z3|)/(|z1*z2|+|z2*z3|+|z3*z1|)

Homework Equations




The Attempt at a Solution



I tried to multiply the equations by the product of all conjugates and reach some equations but it lead to nothing in the end.[/B]

Type out your work, so we can see whether you made mistakes.
 

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