Hydrostatic pressure is treated as a scalar quantity even though pressure is defined as force divide

Question

Hydrostatic pressure is treated as a scalar quantity even though pressure is defined as force divided by area. What is the fundamental reason for this?

Professor PC Thomas Classes · Answer

At any point in a fluid at rest, the pressure exerts a force perpendicular to any surface introduced, regardless of its orientation. Therefore, pressure has no intrinsic direction and is a scalar.