Tangent Vectors and Vector Fields
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Addition and Scalar Multiplication of Tangent Vectors
Equations are omitted for technical reasons - download the original pdf
Two tangent vectors with the same point of application, p, may be added in the obvious way; that is, by adding their component parts. [Equation goes here - download the original pdf to see it.] Likewise, multiplication of a tangent vector by a scalar, c, is defined by [Equation goes here - download the original pdf to see it.]
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Contents of
Tangent Vectors and Vector Fields
1 Properties of the line integral
2 Vector Field
3 Tangent Vectors
4 Tangent Space
5 Addition and Scalar Multiplication of Tangent Vectors
6 Vector Fields and Tangent Spaces
7 Vector field lines
8 Differentiable Vector Field
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