hello guys. am kind of new to the polar topic and have limited resources where notes and text book is concerned.

given that $\displaystyle z_1 = 4 + 3i$ and $\displaystyle z_2= 3-2i$

a) express $\displaystyle z3= z_1 . z_2$ in polar form

for that i have$\displaystyle (4+3i)(2-2i)$

= $\displaystyle 8-8i+6i+6i^2$

=$\displaystyle 8-2i -6$

=$\displaystyle 2+14i$

is this correct?

can someone please show me how to evaluate

$\displaystyle \mid z_1\mid$

$\displaystyle \mid z_2\mid$

$\displaystyle \mid z_3\mid$

and how would i sketch on same argand diagram?