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3D scatter plot with projections

On Jan 8, 2011, at 11:21 AM, Gang Chen wrote:

            
I'm puzzled. If you have (x1, y1, z1) and (x2, y2, z2) as starting and  
ending points, Deducing the three projected segments , i.e. the  
starting and ending points of the projections on the xy, xz and yz  
planes (z = 0, y=0, and x= 0 respectively) would seem to be trivial.  
So maybe I just don't understand.  What part is offering difficulty?  
Please show your code so far.