In unit$-$vector notation, what is the torque about the origin on a jar of jalape$$o peppers located at coordinates $(2\mathrm{.}0$ m$,3\mathrm{.}0$ m$,5\mathrm{.}0$ m$)$ due to force $1=(5\mathrm{.}0$ N$)(3\mathrm{.}0$ N$)+(4\mathrm{.}0$ N$)?$

$=$ N $$ m

$($b$)$ In unit$-$vector notation, what is the torque about the origin on a jar of jalape$$o peppers located at coordinates $(2\mathrm{.}0$ m$,3\mathrm{.}0$ m$,5\mathrm{.}0$ m$)$ due to force $2=(5\mathrm{.}0$ N$)(3\mathrm{.}0$ N$)(4\mathrm{.}0$ N$)?$

$=$ N $$ m

$($c$)$ In unit$-$vector notation, what is the torque about the origin on a jar of jalape$$o peppers located at coordinates $(2\mathrm{.}0$ m$,3\mathrm{.}0$ m$,5\mathrm{.}0$ m$)$ due to the vector sum of $1$ and $2?$

$=$ N $$ m

$($d$)$ Repeat $($c$)$ but find the torque about a point with coordinates $(2\mathrm{.}0$ m$,3\mathrm{.}0$ m$,5\mathrm{.}0$ m$)$ instead of the origin.

$=$ N $$ m