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.
  • Give your answer to 3 decimal places.
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