Scalar fields and vector functions
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Vector calculus - Vector field lines
Equations are omitted for technical reasons - download the original pdf
A vector field line is a continuous curve such that any point on the curve the tangent to the curve is parallel to the direction of the vector field at that point. For example, vector field lines for a bar magnet could be represented thus: - [Diagram goes here - download the original to see it. The tangent at any point on one of these field lines points in the direction of the vector field there. [Diagram goes here - download the original to see it.]
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Contents of
Scalar fields and vector functions
1 Vector calculus - Scalar Field
2 Vector calculus - Contour curves
3 Vector calculus - Vector Field
4 Vector calculus - Vector field lines
5 Differentiation of scalar and vector products.
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