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

Chapter 12, Problem 74

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In Exercises 73–78, find the vectors T and N, and the unit binormal vector \(\mathbf{B}=\mathbf{T} \times \mathbf{N}\) for the vector-valued function r(t) at the given value of t

\(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+\frac{t^{3}}{3} \mathbf{k}\)

\(t_{0}\)=1

Text Transcription:

r(t)=t i+t^2 j+t^3/3 k

B=T times N

t_0

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