3. Given the vector function \( \vec{r}(t) = < \cos(t), \sin(t), \ln(\cos(t)) > \) and the point
on its curve P = (1,0,0):
(a) Calculate the unit tangent vector \( \vec{T} \), unit normal vector \( \vec{N} \) and bi-
normal vector \( \vec{B} \) for the curve at the point P
(b) Calculate an equation for the normal plane at P and an equation for
the osculating plane at P (Hint: recall what the perpendicular vector
for each of these planes should be.)
