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Explain how it can be that pressure is a scalar quantity when forces, which are vectors, can be produced by the action of pressure

Explain how it can be that pressure is a scalar quantity when forces, which are vectors, can be produced by the action of pressure 

Grade:12th pass

1 Answers

Vikas TU
14149 Points
11 months ago
Dear student 
Pressure is a scalar quantity since force and area are both vectors, (area is not a scalar) according to the dot or scalar product of two vectors .Actually, when you consider a surface , the differential area at each point is a vector, its module is the area of the and the direction is the outward perpendicular to the tangent plane. So the differential force produced by pressure at each point is obtained doing the product of this area vector with the scalar value of pressure, and then you can integrate if you want to know the total force on a given surface.

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