December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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7.4 Cross Product
INTRODUCTION
The dot product, introduced in the preceding section, works in both two- and three-dimensional spaces and results in a number. On the other hand, the cross product, introduced in this section, is only defined for vectors in 3-space and results in another vector in 3-space.
Before proceeding we need the following two results from the theory of determinants.
See Sections 8.4 and 8.5 for a complete discussion of determinants.
Review of Determinants
A determinant of order 2 is the number
. (1)
A determinant of order ...
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