*1. (16) Prove without using components: Let T(t) be the unit tangent vector and N(t) be...

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*1. (16) Prove without using components: Let T(t) be the unit tangent vector and N(t) be the principal unit normal vector. Let A(t) = T(t) N(t). Prove the following: dA a) A = 0 b) AXT=N dt dA dt c) Show is a scalar multiple of N *1. (16) Prove without using components: Let T(t) be the unit tangent vector and N(t) be the principal unit normal vector. Let A(t) = T(t) N(t). Prove the following: dA a) A = 0 b) AXT=N dt dA dt c) Show is a scalar multiple of N

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To prove the given statements without using components we can utilize the properties of the unit tan... View the full answer