Find the equation of the osculating plane.
I know there is a long way and a short way to do this. Just find a normal vector for the plane.
1) T(t) = r'(t) / |r'(t)| Long way
N(t) = T'(t) / |T'(t)|
B(t) = T(t) x N(t)
2) r'(t) x r''(t) = n(t) Short way
Where n(t) can be used as the normal vector

I just want to know if n(t) and B(t) are equal, or are they just proportionate with the same direction
And then B(t) or n(t) can be used as a normal vector for the plane

Question

Find the equation of the osculating plane.
I know there is a long way and a short way to do this. Just find a normal vector for the plane.  
1)  T(t) = r'(t) / |r'(t)|     Long way
     N(t) = T'(t) / |T'(t)|
     B(t) = T(t) x N(t)
2)  r'(t) x r''(t)  = n(t)    Short way
     Where n(t) can be used as the normal           vector

I just want to know if n(t) and B(t) are equal, or are they just proportionate with the same direction
And then B(t) or n(t) can be used as a normal vector for the plane