Can I find the tangent line to a vector using principle unit tangent vector?

Question

Can I find the tangent line to a vector using principle unit tangent  vector?

anonymous · Answer

It is difficult to talk about this subject in abstract. Better to ask a problem that would demonstrate what you are asking about.

anonymous · Answer

Find a set of parametric equations for the tangent line to the graph at t = t0. (Enter your answers as a comma-separated list.)

Is the answer principle unit tangent vector T(t)?

anonymous · Answer

Have no idea what is principle unit tangent vector.

anonymous · Answer

r'(t)/||r(t)|| = T(t)

anonymous · Answer

Sorry, but we tend to forget these terms but if you give us a problem we could usually figure out the problem. Using the method you just typed above you would find T(t) which is the unit tangent vector..