Find ##z## in the form ##a+bi## under Complex Numbers

[chwala]

Homework Statement

see attached

Relevant Equations

Complex numbers

For part (a),
$z$=$\dfrac {3+i}{3-i}$ ⋅$\dfrac {3+i}{3+i}$
$z$=$\dfrac {4}{5}$+$\dfrac {3}{5}i$

part (b) no problem as long as one understands the argand plane...

For part (c)
Modulus of $z=1$
and Modulus of $z-z^*$=$\frac{6}{5}i$

 

[PeroK]

The modulus is a real number, so it can't be $\frac 6 5 i$.

 

[chwala]

The modulus is a real number, so it can't be $\frac 6 5 i$.

True, its supposed to be $\dfrac {6}{5}$