6. Given that \(z = - 3 + 4 \mathrm { i }\),
- find the modulus of \(z\),
- the argument of \(z\) in radians to 2 decimal places.
Given also that \(w = \frac { - 14 + 2 \mathrm { i } } { z }\),
- use algebra to find \(w\), giving your answers in the form \(a + \mathrm { i } b\), where \(a\) and \(b\) are real.
The complex numbers \(z\) and \(w\) are represented by points \(A\) and \(B\) on an Argand diagram.
- Show the points \(A\) and \(B\) on an Argand diagram.