Define gravitational potential. Give its unit. Is gravitational potential a vector or a scalar quantity?

(N/A) Gravitational Potential $V$: The gravitational potential at a point in a gravitational field is defined as the amount of work done by an external agent in bringing a unit mass from infinity to that point without acceleration.
Definition: The work done per unit mass in bringing a body of unit mass from an infinite distance to a given point in a gravitational field is called the gravitational potential at that point.
Formula: Gravitational potential $V = \frac{W}{m}$,where $W$ is the work done and $m$ is the mass.
Nature: It is a scalar quantity.
Units: Its $SI$ unit is $J/kg$ (joule per kilogram) and its $CGS$ unit is $erg/g$ (erg per gram).
Dimensional Formula: $M^{0} L^{2} T^{-2}$.