complex numbers and vectors :(

[biba]

can any1 plz guide me how to make those loci on argand diagrams? and how to fin shortest or greatest distance using the argand diagram?
and i vectors what are coplanar planes?

 

[Omar99]

which question

 

[PhyZac]

Asslamu Alikum

I found this

 

[biba]

Asslamu Alikum

I found this

thanx alot !