2.
$$z = 5 \sqrt { } 3 - 5 i$$
Find
- \(| z |\),
- \(\arg ( z )\), in terms of \(\pi\).
$$w = 2 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$$
Find
- \(\left| \frac { w } { z } \right|\),
- \(\quad \arg \left( \frac { w } { z } \right)\), in terms of \(\pi\).