   Chapter 12.4, Problem 21E

Chapter
Section
Textbook Problem

# Show that 0 × a = 0 = a × 0 for any vector a in V3.

To determine

To show: The equation 0×a=0=a×0 for any vector a in V3 .

Explanation

Consider a=a1,a2,a3 .

Find the cross product between 0 and a .

0×a=|ijk000a1a2a3|=|00a2a3|i|00a1a3|j+|00a1a2|k=(00)i(00)j+(00)k=0

Find the cross product between a and 0

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