Adding and ploting complex numbers

Hi all,

For example, I have:

restart:

with(VectorCalculus):

z1:=1+I*5;

z2:=6-I*3;

I want to plot three vectors which are represented by z1, z2 and z1+z2.

I can plot them as:

PlotVector([<Re(z1),Im(z1)>,<Re(z2),Im(z2)>,<Re(z1+z2),Im(z1+z2)>],color=[red,blue,yellow]);

But the three vectors have origin at point x:=0 and y:=0.

I can change this by applying VectorSpace as:

vs1 := VectorSpace('cartesian', [0, 0]): vs2 := VectorSpace('cartesian', [1, 5]):

PlotVector([vs1:-Vector([Re(z1),Im(z1)]),vs2:-Vector([Re(z2),Im(z2)]),vs1:-Vector([Re(z1+z2),Im(z1+z2)])],color=[red,blue,yellow]);

Is there an other more easy way to do this type of ploting of complex numbers without applying Re(z1), Im(z1), and VectorSpace ? When we have for example 6.2*z1+sqrt(2)*0.2*z2+z3, it is not easy to to determine the VectorSpace. 

Thanks in advance

Kamel