Non conservative vector fields

[ssrtac]

F(x,y,z)=ax P(x,y,z)+ay Q(x,y,z)+az R(x,y,z)

F is vectoral field. ax , ay and az are unit vectors. P , Q ,R are scalar functions.

The question is this:
If F is non-conservative vectoral field ; what are the characteristics of P Q and R?

thanks in advance. have a nice day

 

[lineintegral1]

This follows from the definition of conservative vector fields in 3-space. Did you check this definition? What exactly are you having trouble with? Look at the definition and see how you can apply each component of the vector field to it.