Write down the equations of the vector valued function traversing the path.
\[
\int(t)=<\cos (t) \cdot(3 \cdot t \cdot \sin (t), \sin (t) \cdot(3+\cos (t)), 0.1 t>
\]
Notice the rather Sudden Change in the orientation of the Bi-Normal Vector.
Explain(10pts) with supporting calculations(20pts) the sudden change in the direction of the Bi-Normal Vector.