particle is located at the position vector vec$(r)=(9\mathrm{.}00$hat$(i)+11\mathrm{.}00$hat$(j))m$ and a force exerted on it is given by vec$(F)=(7\mathrm{.}00$hat$(i)+6\mathrm{.}00$hat$(j))N.$

$($a$)$ What is the torque acting on the particle about the origin?

$=N*m$

$($b$)$ Can there be another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude?

Yes

No

$($c$)$ Can there be more than one such point?

Yes

No

$($d$)$ Can such a point lie on the $y-$axis?

Yes

No

$($e$)$ Can more than one such point lie on the $y-$axis?

Yes

No

$($f$)$ Determine the position vector of one such point. $($Give a point on the $y-$axis.$)$

vec$(r)=$ m