Question

Since pressure is force per unit area, it is a vector quantity.
A. True
B. False
C. Ambiguous
D. Data Insufficient

Answer 1

Hint: Pressure from a point acts on all the directions, it doesn’t have a particular direction.

Complete step by step answer:
Pressure is defined as the force acting perpendicular to the surface of an object per unit area. Mathematically it can be expressed as,
$\text{P}=\dfrac{\text{F}}{\text{A}}$
Where,
F is the force acting perpendicular to the surface.
A is the surface area of the area in contact.
P is the pressure.
Force and area are vector quantities but vector is a scalar quantity because it acts as a proportionality constant between the area vector and the normal force acting on it. If dA is the small area vector on which a small force dF acts then these two are proportional to each other and the proportionality constant is called pressure. It can be written as
$dF=-pdA$
Where p is the pressure acting on the surface, the minus sign indicates that the force is acting towards the body and the area vector is acting opposite to the force.

Additional Information:
SI unit of pressure is Pascal (Pa).
The dimensional formula for pressure is $\left[ \text{M}{{\text{L}}^{\text{-1}}}{{\text{T}}^{\text{-2}}} \right]$.

Note: The concepts of fluid pressure are predominantly attributed to the discoveries of Blaise Pascal and Daniel Bernoulli. Bernoulli's equation can be used in almost any situation to determine the pressure at any point in a fluid.
The pressure at any given point of a non-moving (static) fluid is called the hydrostatic pressure.