#### 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
$2-4 \sin (t/2)=0$
$\implies 2=-4 \sin (t/2)$
$\implies t=\dfrac{\pi}{3}$

Published by
Pearson

ISBN 10:
0-32187-896-5

ISBN 13:
978-0-32187-896-0

$$t=\dfrac{\pi}{3}$$

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