Question: plotting vectors and complex functions

Hello.  I am brand new to Maple.  I would like to plot complex functions, in particular as follows:  (1) I want to show all at once all the n-roots (say 4 or 9 roots) of a complex number or a polynomial with n solutions.  (2) I would like to show the results to vectors as I perform operations.  For example, I would like to display a vector, disply another vector, and display theproduct of the two vectors, all at once. (3) For example again, I would like to disply a vector, display a series of vectors, and then display the products of the first vector with all the vectors in the series of vectors.  (4) Suppose I have a function that takes a vector as input and produces vectors as output, or, the same thing, takes a complex number as input and produces complex numbers as output.  I would like to be able to plot in two dimensions (I would use simple functions and be careful of contours).  I have searched as much as I could but cannot find how to do any of this.  Any help appreciated.  If I have follow-up questins, what do I do then?  I do not want to pester the same people that were nice enough to answer me to begin with.  Thanks.  Mike