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 image is evaluated along a specified path. The differential displacement vector image 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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