Find the Unit Tangent Vector T(t) to the Curve R $\left( \sin t , 2 t , t ^ { 2 } \right)$

question 106

Multiple Choice

Find the unit tangent vector T(t) to the curve r (t) = $\left( \sin t , 2 t , t ^ { 2 } \right)$ when t = 0.

• A) \(\left( - \frac { 2 } { \sqrt { 5 } } , - \frac { 1 } { \sqrt { 5 } } , 0 \right)\)
• B) \(\left( \frac { 2 } { \sqrt { 5 } } , - \frac { 1 } { \sqrt { 5 } } , 0 \right)\)
• C) \(\left( - \frac { 2 } { \sqrt { 5 } } , \frac { 1 } { \sqrt { 5 } } , 0 \right)\)
• D) \(\left( \frac { 2 } { \sqrt { 5 } } , \frac { 1 } { \sqrt { 5 } } , 0 \right)\)
• E) \(\left( - \frac { 1 } { \sqrt { 5 } } , - \frac { 2 } { \sqrt { 5 } } , 0 \right)\)
• F) \(\left( \frac { 1 } { \sqrt { 5 } } , - \frac { 2 } { \sqrt { 5 } } , 0 \right)\)
• G) \(\left( - \frac { 1 } { \sqrt { 5 } } , \frac { 2 } { \sqrt { 5 } } , 0 \right)\)
• H) \(\left( \frac { 1 } { \sqrt { 5 } } , \frac { 2 } { \sqrt { 5 } } , 0 \right)\)

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