Determine whether $\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle$ is conservative and if so, find a potential function.

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The Answer of Determine whether $\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle$ is conservative and if so, find a potential function.

Determine Whether F(x,y,z)=⟨zx−y,zy−x,ln⁡(x−y)⟩\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangleF(x,y,z)=⟨x−yz​,y−xz​,ln(x−y)⟩

Determine Whether $\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle$