Find the Unit Tangent Vector T(t) to the Curve R $\langle \sin t , t , \cos t \rangle$

question 25

Multiple Choice

Find the unit tangent vector T(t) to the curve r (t) = $\langle \sin t , t , \cos t \rangle$ when t = 0.

• A) \(( - 1,0,0 )\)
• B) \(( 0,0 , - 1 )\)
• C) \(( 1,0,0 )\)
• D) \(( 0,0,1 )\)
• E) \(\left( 0 , \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } \right)\)
• F) \(\left( \frac { 1 } { \sqrt { 2 } } , 0 , \frac { 1 } { \sqrt { 2 } } \right)\)
• G) \(\left( \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } , 0 \right)\)
• H) \(\left( \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)\)

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