Work Done by Force Field (Part 2)

A particle in the $$xy$$-plane is acted upon by a force field described by the equation below: $\large{\vec{F} = x \hat{\imath} + y \hat{\jmath}}.$ How much work does the force field do on the particle if the particle makes one complete revolution over a unit circle centered on the origin?


Notes:

• $$\hat{\imath}$$ and $$\hat{\jmath}$$ denote unit vectors in the $$x$$ and $$y$$ directions, respectively.