Solved: Finding a Binormal Vector In Exercises 5156, find the vectors T and N, and the

Chapter 12, Problem 53

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Finding a Binormal Vector In Exercises 51-56, find the vectors T and N, and the binormal vector \(\mathbf{B}=\mathbf{T} \times \mathbf{N}\), for the vector-valued function r(t) at the given value of t.

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

Text Transcription:

B=T times N

r(t)=i+sin tj+cos tk, t_0=pi/4

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