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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View Full DocumentME – 210
Applied Mathematics for Mechanical Engineers
Prof. Dr. Faruk Arınç
Spring 2010
Scalar Field:
A singlevalued, 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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 Spring '09
 FarukARINÇ
 Force, Vector field, Prof. Dr. Faruk, Prof. Dr. Faruk Arınç, Dr. Faruk Arınç

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