Question

If z1=2+3i,z2=3-2i then z1.z2 =

Answer 1

We have

$\sf\ z_1= 2+ 3i \\ \\ \sf\ z_2= 3-2i$

$\sf\ z_1.z_2= 2(3-2i)+3i(3-2i)\\ \\ \\ :\implies\sf\ z_1.z_2= 6-4i+9i-6i\\ \\ \\ :\implies\sf\ z_1.z_2= 6-i$