Use the frenet serret formulas prove the following identity. primes denote derivatives with respect to t.
1) r'' = s''T + k(s')2N
2) r' x r'' = k(s')3B
HELP idk where to start from this problem but i know i have to use the curvature formula
k = |r'(t) x r''(t)| / |r'(t)|3
also we now B = T x N which is binormal vector but im not sure if s' is ds/dt or not.
for the 1st one i know that N = T(t) / |T'(t)| which i supposed |T'(t)| should cancel out with the |T'(t)| in k cause k = |dT/ds|=|T'(t)| / |r'(t)|
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