How do I prove that

|z/w| = |z|/|w| ?

I had let z = a+bi and w = c+di so a+bi/c+di

= a/c + (b/d)i

So modulus is sqrt( (a/c)^2 + (b/d)^2)

And then..I have a feeling I've gone really wrong here.

Thank you very much for your help and time!

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- November 17th 2012, 06:22 AMTutuProving a complex no
How do I prove that

|z/w| = |z|/|w| ?

I had let z = a+bi and w = c+di so a+bi/c+di

= a/c + (b/d)i

So modulus is sqrt( (a/c)^2 + (b/d)^2)

And then..I have a feeling I've gone really wrong here.

Thank you very much for your help and time! - November 17th 2012, 06:57 AMveileenRe: Proving a complex no
Uhm... O.o

If and , then is not necessarily equal with .

- November 17th 2012, 06:58 AMPlatoRe: Proving a complex no
- November 17th 2012, 07:40 AMTutuRe: Proving a complex no
Thank you so so much!