Vector moments
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Vector Field
A vector field is a mapping (function) from one vector space to another. For example, suppose we represent an ocean as a two-dimensional disk and the direction and magnitude of the current on the surface of the ocean by a two dimensional vector, then the function that assigns to each point on the surface of the ocean its current vector is a vector field. [Diagram goes here - download the original to see it.] This is the vector field [Equation] [Diagram goes here - download the original to see it.] We can represent the rector to which the point [Equation] is mapped by a row or column matrix, or by using [Equation] notation. [Equation] [Diagram]
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Contents of
Vector moments
1 Vector calculus - Scalar Field
2 Contour curves
3 Vector Field
4 Vector field lines
5 Differentiation of scalar and vector products.
6 The gradient of a scalar field
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