Evaluate ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*vec(dr)$ where vec$(F)(x,y,z)=($:$4\mathrm{.}5$yzcos$(xyz),4\mathrm{.}5$xzcos$(xyz),4\mathrm{.}5$xycos$(xyz)$:$)$ and C is the line segment starting at the point $(5,\frac{}{2},\frac{1}{5})$ and ending at the point $(10,\frac{1}{10},\frac{}{6}).$

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