What is the difference between scalar and vector functions?

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obing007
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Hi all :)

can anybody help me out in understanding scalar function

and vector function?

the difference between them
 
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A function gives a scalar field if the output of the function is a scalar, or a single number. A function gives a vector field if the output of the function is a vector.
 
that means thermodynamic potentials like gibbs energy = scalar function
 
further if u=h+pv that s enthalpy

how could it be sol to scalar function? can you elaborate its please