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
$$ r(t)=\langle 3+3t,-5,7+t\rangle.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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