Scalar and Vector Fields

Scalar and Vector Fields - ME 210 Applied Mathematics for...

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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 Scalar: A geometrical or physical quantity that can completely be characterized by a single number. For example: length of a bar, mass of an object, electrical resistivity of a metal, viscosity of a fluid, temperature of an object, pressure at a point, etc. Vector: A physical quantity that requires for its complete characterization not only the specification of a magnitude but also the specification of a direction and a sense. For example: velocity of a moving particle, force acting on a body, angular momentum of rotating rigid body. If a scalar is considered to have different values at different points, say P, in three dimensional space, then it is referred to as a scalar function , designated as f(P). Scalar and Vector Fields
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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 Scalar Field: A single-valued, real, scalar function f(P) which is defined at each point in a domain D. Note that the values of this function depend only on the points P in D, but not on the particular choice of coordinate system used. The domain D called as the
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Scalar and Vector Fields - ME 210 Applied Mathematics for...

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