# Work Done by Force Field (Part 3)

A particle in the $$xyz$$ coordinate system is acted upon by a force field described by the equation below: $\large{\vec{F} = yz \, \hat{\imath} + xz \, \hat{\jmath} + xy \, \hat{k}}.$ How much work does the force field do on the particle if the particle travels in a straight line from the origin to the point $$(3,4,5)$$?


Notes:

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