Answer
$$t=\dfrac{\pi}{3}$$
Work Step by Step
Our aim is to find the value of $t$.
$(2,4 \sin (t/2), 3-\dfrac{t}{\pi} ) \cdot (1,-1,0) =0$
This implies that
$2-4 \sin (t/2)=0$
$\implies 2=-4 \sin (t/2)$
$\implies t=\dfrac{\pi}{3}$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 13: Vector-Valued Functions and Motion in Space - Practice Exercises - Page 777: 25
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