A force vec$(F)=(7\mathrm{.}80N)hat(i)+(5\mathrm{.}60N)hat(j)+(4\mathrm{.}40N)hat(k)$ acts on a $4\mathrm{.}50$ kg mobile object that moves from an initial position of vec$(d{)}_i=(8\mathrm{.}40m)hat(i)+(6\mathrm{.}90m)hat(j)+(6\mathrm{.}00m)hat(k)$ to a final position of vec$(d{)}_f=(9\mathrm{.}30m)hat(i)+(9\mathrm{.}40m)hat(j)+(7\mathrm{.}30m)hat(k)$ in $5\mathrm{.}80$ s $.$ Find $($a$)$ the work done on the object by the force in the $5\mathrm{.}80$ s interval, $($b$)$ the average power due to the force during that interval, and $($c$)$ the angle between vectors vec$(d{)}_i$ and vec$(d{)}_f.$

$($a$)$ Number Units

$($b$)$ Number Units

$($c$)$ Number Units