Answer
$\dfrac{\pi}{3}$
Work Step by Step
We need to compute the value of $t$.
$(2,4 \sin (\dfrac{t}{2}), 3-\dfrac{t}{\pi} ) \cdot (1,-1,0) =0$
Now,
$2-4 \sin (\dfrac{t}{2})=0$
or, $ 2=-4 \sin (\dfrac{t}{2})$
or, $t=\dfrac{\pi}{3}$