Solved: Alternative Formula for the Principal Unit Normal Vector In Exercises 5760, use
Chapter 12, Problem 58(choose chapter or problem)
Alternative Formula for the Principal Unit Normal Vector In Exercises 57-60, use the vector-valued function r(t) to find the principal unit normal vector N(t) using the alternative formula
\(\mathbf{N}=\frac{(\mathbf{v} \cdot \mathbf{v}) a-(v \cdot a) v}{\|(v \cdot v) a-(v \cdot a) v\|}\).
\(\mathbf{r}(t)=3 \cos 2 t \mathbf{i}+3 \sin 2 t \mathbf{j}\)
Text Transcription:
N=(v times v)a - (v times a)v/||(v times v)a - (v times a)v||
r(t)=3 cos 2ti + 3 sin 2 tj
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