Advanced Engineering Mathematics, 7th Edition

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 ...