Give some reasons why the TNB frame is usefulSolution TNB or

Give some reasons why the TNB frame is useful.

Solution

TNB or Frenet-Frames are mostly used in Differential Geometry The great thing about Frenet Frames is that you have all the information about the shape of the curve, but don\'t care where it is located in space, which in many situations is irrelevant. Also, again without knowing the specifics, a construction of an orthonormal basis at each point on the curve must be useful in areas of physics and the like. The TNB frame is useful where there is no reference for i, j, and k. It is a “moving” reference frame going along the path; e.g. outer space