It is easy to check that n has unit length, and the dot product of n and T is 0.
This is what my book says:
If C is given by the vector equation
then the unit tangent vector is
You can verify that the outward unit normal vector to C is given by
I don't get how that's true. I tried proving it using the fact that and all I got was this:
and I don't know how to simplify that to
Thanks in advance!