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

Jun 7, 2016

The force field is not conservative bacause $\vec{\nabla} \times \vec{F} \ne \vec{0}$
 ((hat i, hat j, hat k), (partial/(partial x),partial/(partial y), partial/(partial z)), (x+y,2z,2y-z)) = (0,0,-hat k)
which is different from $\vec{0}$