- #1

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- 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##

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