# A force field is described by #<F_x,F_y,F_z> = < xy , 2z-y^2 +x, 2y -z > #. Is this force field conservative?

##### 1 Answer

Aug 1, 2016

Not conservative

#### Explanation:

the conclusive test is the existence of a potential function

.....a necessary (though insufficient) condition is that the curl of the force field is zero because, if

here

So this is not conservative.