$($a$)$ 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$,5\mathrm{.}0$ m$,2\mathrm{.}0$ m$)$ due to force F with arrow$1=(4\mathrm{.}0$ N$)$i hat $(2\mathrm{.}0$ N$)$j $+(3\mathrm{.}0$ N$)$k$?$

vector tau $=$

Correct: Your answer is correct.

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$,5\mathrm{.}0$ m$,2\mathrm{.}0$ m$)$ due to force F with arrow$2=(4\mathrm{.}0$ N$)$i hat $(2\mathrm{.}0$ N$)$j $(3\mathrm{.}0$ N$)$k$?$

vector tau $=$

Correct: Your answer is correct.

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$,5\mathrm{.}0$ m$,2\mathrm{.}0$ m$)$ due to the vector sum of F with arrow$1$ and F with arrow$2?$

vector tau $=$

Correct: Your answer is correct.

N $$ m

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

vector tau $=$

N $$ m