Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.5 - Equations of Lines and Planes - 12.5 Exercises - Page 832: 47



Work Step by Step

Substitute $x=\frac{t}{5}$, $y=2t$, $z=t-2$ in $10x-7y+3z+24=0$ $2t-14t+3t-6+24=0$ $18-9t=0$ $t=2$ Substitute $t=2$ in the equation of the line to get the point. $x=\frac{2}{5}$, $y=2(2)$, $z=2-2$ $x=\frac{2}{5}$, $y=4$, $z=0$ Hence, $(\frac{2}{5},4,0)$
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