1. T, unit principal normal vector N and (unit binormial vector B plus arc length and curvature a. Given (x) 2x 1, Rewrite y X) as a vector-valued function 1(t) b. Find T of 10) c. Find N of r 1 (t) d. Given (t) cos(t) ,sin (t), t Find T of Gt) e. Find N of r (t) f. Find the arc length from t 30 tot 3 2T of g. Rewrite 20t using the natural parameter s, 20s0a? h. Find the curvature of the (s a constant at any point of the curve i. Given a vector v 1,2, 3 in a coordinate system, we rewrite v in terms of T,N and B; what is the new v v. vR where v and v re the projections of the original v onto the new coordinate system T,N and B.
