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In general pressure is defined as force exerted on a unit area, being so measured in N/m2 that is called Pascal (Pa). There are several other possible measurement units for pressure, like psi (pound on square foot), atmospheres (that is the average pressure of the atmosphere on the earth surface) and so on.

However I suggest to always use SI units (meters, seconds, Pa, N etc..) since this assures to make no errors in formulas due to incompatible measurement units. At last, very small or very large numbers are not more difficult to deal with than numbers in the order of one :-)

When pressure in liquids or gasses is considered, these fluids transmit pressures at the same way in all directions, thus a simple scalar pressure can be defined in each point.

The situation is different in anisotropic materials like crystals, where the pressure in a point depends on the direction due to the particular crustal structure.

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