A force $=(3\mathrm{.}0)+(7\mathrm{.}0)+(7\mathrm{.}0)$ acts on a $2\mathrm{.}00$ kg mobile object that moves from an initial

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position of $=(3\mathrm{.}0)(2\mathrm{.}0)+(5\mathrm{.}0)$ to a final position of $=(5\mathrm{.}0)+$

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$(4\mathrm{.}0)+(7\mathrm{.}0)$ in $4\mathrm{.}00$ s$.$ Find $($a$)$ the work done on the object by the force in the $4\mathrm{.}00$ s interval,

$($b$)$ the average power due to the force during that interval, and $($c$)$ the angle between vectors $$ and $.$