Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 12 - Vectors and Matrices - Review Exercises and Problems for Chapter Twelve - Page 531: 6

Answer

$(52, 14, 34)$

Work Step by Step

$2[\vec{b}+4 (\vec{a}+\vec{c})]=2\vec{b}+8 \vec{a} +8 \vec{c} \\=2(2,-1,9)+8(5,1,0)+8(1,1,2) \\=(4,-2,18)+(40,8,0)+(8, 8, 16) \\=(4+40+8, -2+8+8, 18+0+16)\\=(52, 14, 34)$
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