Use the frenet serret formulas prove the following identity. primes denote derivatives with respect to t.
1) r'' = s''T + k(s')^{2}N
2) r' x r'' = k(s')^{3}B
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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 In multivariable calculus

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 nakenjiex
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 2 years ago
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