December 2020
Intermediate to advanced
1064 pages
49h 43m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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7.3 Dot Product
INTRODUCTION
In this and the following section, we shall consider two kinds of products between vectors that originated in the study of mechanics and electricity and magnetism. The first of these products, known as the dot product, is studied in this section.
Component Form of the Dot Product
The dot product, defined next, is also known as the inner product, or scalar product. The dot product of two vectors a and b is denoted by a · b and is a real number, or scalar, defined in terms of the components of the vectors.
DEFINITION 7.3.1 Dot Product of Two Vectors
In 2-space the dot product of two vectors a = 〈a1, a2〉 and ...