   Chapter 12.4, Problem 17E

Chapter
Section
Textbook Problem

# If a = ⟨2, −1, 3⟩ and b = ⟨4, 2, 1⟩, find a × b and b × a.

To determine

To find: The cross product between a and b and b and a .

Explanation

Given: a=2,1,3 and b=4,2,1 .

Formula:

Consider the general expression to find the cross product of a and b.

a×b=|ijka1a2a3b1b2b3| (1)

Consider the general expression to find the cross product of b and a.

b×a=|ijkb1b2b3a1a2a3| (2)

Substitute 2 for a1 , –1 for a2 , 3 for a3 , 4 for b1 , 2 for b2 and 1 for b3 in equation (1),

a×b=|ijk213421|=|1321|i|2341|j+|2142<

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