how to plot a field plot to a vector field ............sent coading?

Answer 1

I'm not sure what your asking exactly, but if you want to know what a the graph of a vector field looks like, it's pretty easy.
Use your vector valued function to evaluate representative points, choosing them for ease of computation. You will get vectors for each point. Put each vector on a graph at the point where you evaluated it. Then stand back and look at the trend and try to analyze the equation a bit.

Answer 2

What he said.

For examples, see:

http://www.hko.gov.hk/nwp/img/nwpmap/up70wd_e_00.png

http://www.rap.ucar.edu/weather/surface/sfc_msp.gif

Normally you draw the arrows so that the drawn length is proportional to the magnitude of the vector, pointing in the direction of the vector. Instead, the above two encode the magnitude using the following key:

http://earthobservatory.nasa.gov/Study/PolarWinds/Images/terra_winds_key.gif