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: 5

Answer

$(7,8,-21)$

Work Step by Step

$2\vec{a}-3 (\vec{b}-\vec{c})=2(5,1,0)-3[(2,-1,9) -(1,1,2)] \\=(10,2,0)-3(1,-2, 7) \\=(5,1,0)+2(3,0,11)\\=(10, 2, 0)-(3,-6, 21)\\=(10-3 , 2+6 , 0-21) \\=(7,8,-21)$
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