Answer
$\textbf{T}(t) = \frac{\textbf{r}'(t)}{|\textbf{r}'(t)|}$
Where $\textbf{T}(t)$ is a Unit Tangent Vector and $\textbf{r}'(t)$ is a Tangent Vector on an oriented curve:
Work Step by Step
Definition of Unit Tangent Vector
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 11 - Vectors and Vector-Valued Functions - 11.6 Calculus of Vector-Valued Functions - 11.6 Exercises - Page 814: 3
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