How to "animate" a frenet trihedron along a given curve?
I believe this is similar to what I'm looking for:
http://www.math.byu.edu/~math302/content/learningmod/trihedron/trihedron.gif
but in the context of curves, because my task is to draw this curve:
c2: [0, 5] -> R^3, c2(t) = (e^t * cos(t), e^t * sin(t), e^t)
and give the user ability to move a frenet trihedron along that curve (using a parameter and @interact)
I know how to draw a curve and basics of interact:
show(parametric_plot3d( (e^t * cos(t), e^t * sin(t), e^t), (t, 0, 2*pi)));
@interact
...
But I don't have enough knowledge about frenet trihedron. If anyone could help me out I would appreciate it.