Is potential energy a vector or a scalar quantity?

Hint:As we know that, A scalar quantity is defined as the physical quantity that has only magnitude. For example – Mass, volume, distance, electric current, speed, area, temperature. Whereas a vector quantity is defined as the physical quantity that has both magnitude as well as direction. For example – force, weight, displacement, momentum, acceleration, angular velocity. By considering things into the account we can easily figure out that the potential energy is a scalar or vector.

Complete answer:
Potential energy may be defined as the form of energy that an object gains when it is lifted.Potential energy directly depends on mass, acceleration due to gravity and the height of the object. Potential energy = \[mgh\]
Where \[m\] is mass,\[g\] is acceleration due to gravity, \[h\] is the height of the object.
Potential energy is a scalar quantity as it has magnitude only. It does not have direction, as it does not depend on that. The standard unit of potential energy is joule.

Hence, potential energy is a scalar quantity.

Note:When we stretch a rubber band, it also stores some amount of potential energy as the stretched band is set free the elastic potential energy gets converted into kinetic energy.Scalar quantities are one dimensional whereas vector quantities are multi dimensional. Scalar quantities change with the change in magnitude whereas vector quantities change with the change in magnitude and direction.