Answer
$$[1,1,2]$$
Work Step by Step
First, compute the product in $\mathbb{Z}^3$:
$$2[2,2,1]=[4,4,2]$$
Now, divide each term by $3$ and find the remainder, to convert the above to $\mathbb{Z}^3_3$:
$$[1,1,2]$$
Linear Algebra: A Modern Introduction
by Poole, David
Published by
Cengage Learning
ISBN 10:
1285463242
ISBN 13:
978-1-28546-324-7
Chapter 1 - Vectors - 1.1 The Geometry and Algebra of Vectors - Exercises 1.1 - Page 17: 42
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