I have a function
f[x_,y_,z_]:= a^x b^y c^z
and I want to evaluate it for various values of x,y,z always coming in triples. This means I have a database with columns x,y,z and rows vectors say A,B,C. (Sorry I could not write a Latex table here for some reason!)
How does one create such a table on Mathematica and then asks the function to directly compute 1) f[vector A] instead f[x,y,z] and 2) say the sum or product of vectors A,B, and C?