Question

At a given point on a smooth space curve r(t), T(t) is the unit tangent vector,...

At a given point on a smooth space curve r(t), T(t) is the unit tangent vector, N(t) is the principle unit normal vector and B(t) is the binormal vector. Which of the following are correct? (The multiple-choice question might have more than one correct answer. Circle all correct answers for full credit.) Group of answer choices

A)None of the above has to be true.

B) T ( t ) ⋅ T ′ ( t ) = 0

C) | B ( t ) | = 1

D) T(t)x N(t)=0

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