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!
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!