Answer: In Exercises 7378, find the vectors T and N, and the unit binormal vector for

Chapter 12, Problem 77

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In Exercises 73–78, find the vectors T and N, and the unit binormal vector for the vector-valued function r(t) at the given value of t.

\(\mathbf{r}(t)=4 \sin t \mathbf{i}+4 \cos t \mathbf{j}+2 t \mathbf{k}\) \(t_{0}=\frac{\pi}{3}\)

Text Transcription:

r(t)=4  sin t i+4  cos t j+2 t k

 t_0=  pi/3

B=T times N

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