Calculate and numerically evaluate the electrostatic energy of the following $5$ ion molecule scaled by the factor $(1/(4$pi $$epsi $0))($q$2/$ a$).$ Comment on the significance of the sign of your result. Note that x$,$ y$,$ and z denote unit vectors in the three Cartesian directions.

Charge $=-4$q Position $=0$

Charge $=$ q Position $=($a$/2)($x$+$y$+$ z$)$

Charge $=$ q Position $=($a$/2)(-$x$-$y$+$ z$)$

Charge $=$ q Position $=($a$/2)($x$-$y$+$ z$)$

Charge $=$ q Position $=($a$/2)(-$x$+$y$+$ z$)$

Answer rating: 100% (QA)

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