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

##### 1 Answer

Jul 14, 2016

#### Answer:

NO

#### Explanation:

if the field

and as

so we can test the curl of the vector field to see if it is indeed zero, as follows

This is not conservative. It is necessary that the