Let v(t) = r '(t). Show that N(t) v(t)r'' (t) - v'(t)r' (t) |v(t)r(t) - v'(t)r' (t)||

Let v(t) = ΙΙr '(t)ΙΙ. Show that

N is the unit vector in the direction T'(t). Differentiate T(t) = r'(t)/v(t) to show that v(t)r"(t) − v'(t)r (t) is a positive multiple of T '(t).

Transcribed Image Text:

N(t) v(t)r'' (t) - v'(t)r' (t) |v(t)r"(t) - v'(t)r' (t)||