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

Chapter 12, Problem 52

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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.

\(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+\frac{t^{3}}{3} \mathbf{k}, \quad t_{0}=1\)

Text Transcription:

B=T times N

r(t)=ti+t^2j + t^3/3 k, t_0=1

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