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 711: 35

Answer

$$r(t)=(3,2,t).$$

Work Step by Step

Since the vertical lines passing through $(3,2,0)$ can be written as $(3,2,z)$, then we can put $z=t$ as a parameter and hence $$r(t)=(3,2,t).$$ (Where $t$ can be any real number.)
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