Question: 3. (a) Using the Frenet-Serret equations, prove that d r /ds d 2 r /ds 2 d 3 r ds 3 = / 2 .

3. (a) Using the Frenet-Serret equations, prove that dr/ds d 2r/ds2 d3rds 3 = / 2 .

(b) Given that the Darboux rotation vector is given by w = T + B , use the Frenet-Serret frame (T , N , B ) to show that

i. dT/ds = w T

ii. dN/ds = w N.

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