i'm stuck on this one:

Prove that || z1|-|z2|| £ |z1-z2|

Thanks!

Printable View

- Apr 2nd 2009, 09:02 PMmorganfortwist on the triangle inequality proof
i'm stuck on this one:

Prove that || z1|-|z2|| £ |z1-z2|

Thanks! - Apr 3rd 2009, 04:42 AMOpalg
The usual triangle inequality tells you that , and hence . The same inequality with and interchanged gives . The two inequalities together give .