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Pressure is the force acting in all directions on an area while force is a push or pull in a direction. To understand this, we have to know how pressure or force originates. While the force is applicable to rigid materials, the term pressure is applicable for bulk materials (like water) where individual particles are considered as soft. When a force is applied from one direction on the soft particle, the soft particle gets distorted and projects out in all directions. Pressure thus do not have any unique direction but all, while a force has a unique direction. When a bomb blasts, it effects in all directions in air whereas if a running car hits, it effects in the specific direction only. A parameter effecting in all directions uniformly is considered as if it is a scalar.

The pressure acts to all the directions uniformly. I mean in 360 degrees. So, we can't define a direction for pressure.

The formula P= F/A is only the magnitude relation, not direction. It should be kept in mind.

Mathematically, it can be understood as pressure is the ratio of force and vector area (which has direction along the normal to the surface upon which the force is acting, and if the force is not normal to to the surface we take component of force along normal. )

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