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Find the Unit Normal Vector N(t) to the Curve R sint,t,cost\langle \sin t , t , \cos t \rangle

Question 76

Multiple Choice

Find the unit normal vector N(t) to the curve r (t) = sint,t,cost\langle \sin t , t , \cos t \rangle when t = 0.


A) (1,0,0) ( - 1,0,0 )

B) (0,0,1) ( 0,0 , - 1 )
C) (1,0,0) ( 1,0,0)
D) (0,0,1) ( 0,0,1 )
E) (0,12,12) \left( 0 , \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } \right)
F) (12,0,12) \left( \frac { 1 } { \sqrt { 2 } } , 0 , \frac { 1 } { \sqrt { 2 } } \right)

G) (12,12,0) \left( \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } , 0 \right)

H) (13,13,13) \left( \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)

Correct Answer:

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