In C$++$

Now make $8$ Argon particles whose centers are at the corners of a cube of edge length $1.$ The coordinates of the particles are: particle $1$ at $(0,0,0),$ particle $2$ at $(1,0,0),$ particle $3$ at $(0,1,0),$ particle $4$ at $(1,1,0),$ particle $5$ at $(0,0,1),$ particle $6$ at $(1,0,1),$ particle $7$ at $(0,1,1),$ and particle $8$ at $(1,1,1).$ Figure $2$ is shown to help with the visualization of the setup $($particle $1$ at the origin is colored blue$).$ Run the code modified for question B$1$ taking into account the new particle coordinates.

$($a$)$ What is the total initial force vector vec$(f{)}^{**}($in reduced units$)$ exerted by all other particles on particle $1?$

$($b$)$ Is this force directed toward pushing particle $1$ inside the cube or outside the cube?

Identify the particles $($by their number$)$ that attract particle $1$ in this configuration?

FIG. $2.$ Visualization for problems B$3$ and B$4.$