3
Vector Calculus
3.1 INTRODUCTION
Vector calculus deals with differentiation and integration of vectors. Integration of vectors is of three types. These three types are discussed in the following sections.
3.2 LINE INTEGRALS
The line integral involves a scalar (or dot) product. Integral of the dot product of a vector is evaluated along a specified path. The differential displacement vector is tangential to the path.
Line integral for a given vector and path L is worked out as
Figure 3.1 Line integral
3.3 SURFACE INTEGRALS
A vector ...
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