Find the Principle Unit Normal Vector to the Curve Given $\mathbf { r } ( t ) = 5 \cos t \mathbf { i } + 5 \sin t \mathbf { j } , \quad t = \frac { 5 \pi } { 3 }$

question 17

Multiple Choice

Find the principle unit normal vector to the curve given below at the specified point. $\mathbf { r } ( t ) = 5 \cos t \mathbf { i } + 5 \sin t \mathbf { j } , \quad t = \frac { 5 \pi } { 3 }$

• A) \(\mathbf { N } = \left( \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right\}\)
• B) \(\mathbf { N } = \left( \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right)\)
• C)\(\mathbf { N } = \left( \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right)\)
• D)\(\mathbf { N } = \left( - \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)\)
• E)\(\mathrm { N } = \left( - \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right)\)

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