Two spherical masses m$1=2\mathrm{.}80$ g and m$2=4\mathrm{.}60$ g are located at coordinates

$(5\mathrm{.}00,3\mathrm{.}75)$ cm

and $(3\mathrm{.}00,4\mathrm{.}00)$ cm$,$ respectively.

$($a$)$ What is the gravitational field at the origin? Express your answer in vector form.

g $=$

m$/$s$2$

$($b$)$ What is the force experienced by a mass m$3=8\mathrm{.}00$ g placed at the origin? Express your answer in vector form.

Fnet, g $=$

N

$($c$)$ What is the gravitational potential energy of the three$-$mass system?

J