Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 14 - Calculus of Vector-Valued Functions - 14.1 Vector-Valued Functions - Exercises - Page 709: 5

Answer

$$ r(t)=\langle 3+3t,-5,7+t\rangle.$$

Work Step by Step

The vector parametrization of the line is given by $$ r(t)=(3,-5,7)+t\langle 3,0,1\rangle, $$ that is $$ r(t)=\langle 3+3t,-5,7+t\rangle.$$
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