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

Chapter 12, Problem 73

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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

\(\mathbf{r}(t)=2 \cos t \mathbf{i}+2 \sin t \mathbf{j}+\frac{t}{2} \mathbf{k}\)

\(t_{0}=\frac{\pi}{2}\)

Text Transcription:

r(t)=2 cos t i+2 sin t j+t/2 k

t_0=pi/2

B=T times N

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