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**What kind of a vector force field is this???**

Just a general physics question:

I was given a force field vector

*a*(x^2, 2xy, 0) where 'a' is a constant. When I performed a line integral from (0,0,0) to (1,0,0) to (1,1,0), I get 4

*a*/3.

Doing it from (0,0,0) to (0,1,0) to (1,1,0) gives

*a*/3.

From (0,0,0) to (1,1,0) gives

*a*.

As you can see, they are related.

I was wondering what this kind of a force field is known as.. i think someone mentioned something like a "dissipative force field" but I'm not sure. Something along the lines of: if you do some work going in a straight line in one direction, you do the negative of that work when travelling in the opposite direction, giving an overall of 0 work done.

Thanks.