For the following parameterized curve, find the unit tangent vector. r(t)= (3 sin (t),3 cos (1), cos (t)), for 0 stsT Select the correct answer below and, if necessary, fill in the answer be OA TO-( ) (Type exact answers, using radicals as needed.) A. T()- otor

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For the following parameterized curve, find the unit tangent vector.

\[ r(t) = \langle 3 \sin(t), 3 \cos(t), \cos(t) \rangle, \quad \text{for } 0 \leq t \leq \pi \]

Select the correct answer below and, if necessary, fill in the answer box to complete your choice.

- A. \( \mathbf{T}(t) = \langle \, \underline{\hspace{1cm}}, \, \underline{\hspace{1cm}}, \, \underline{\hspace{1cm}} \, \rangle \)

(Type exact answers, using radicals as needed.)
Transcribed Image Text:For the following parameterized curve, find the unit tangent vector. \[ r(t) = \langle 3 \sin(t), 3 \cos(t), \cos(t) \rangle, \quad \text{for } 0 \leq t \leq \pi \] Select the correct answer below and, if necessary, fill in the answer box to complete your choice. - A. \( \mathbf{T}(t) = \langle \, \underline{\hspace{1cm}}, \, \underline{\hspace{1cm}}, \, \underline{\hspace{1cm}} \, \rangle \) (Type exact answers, using radicals as needed.)
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