Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - 12.5 Exercises - Page 849: 47

Answer

$(2,3,1)$

Work Step by Step

$x=y-1=2z$ $x=t$,$y-1=t$ and $2z=t$ $x=t$,$y=1+t$ and $z=t/2$ $\implies$ $4t-(1+t)+3(1/2t)=8$ $\implies$ $t=2$ Thus, $x=2,y=1+2=3,z=2/2=1$ Hence, $(2,3,1)$
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