emoles
Just curious... is there a more effective way to prove that $|z| =1$? I started as follows, but I end up getting stuck:
$$ |z|=1
\\ \sqrt{(z)(\bar{z})}=1
\\ (z)(\bar{z}) = 1
\\ \bar{z} = 1/z$$
Any help would be appreciated. Sorry for a late post.
