Find the Curvature of the Space Curve A) $\kappa = \frac { 18 } { 13 }$

question 106

Multiple Choice

Find the curvature of the space curve.
- $$\mathbf { r } ( \mathrm { t } ) = 5 \mathrm { ti } + \left( 4 + 8 \cos \frac { 3 } { 2 } \mathrm { t } \right) \mathbf { j } + \left( 4 + 8 \sin \frac { 3 } { 2 } \right) \mathbf { k }$$

• A) \(\kappa = \frac { 18 } { 13 }\)
• B) \(\kappa = \frac { 12 } { 169 }\)
• C) \(\kappa = \frac { 18 } { 169 }\)
• D) \(\kappa = \frac { 12 } { 13 }\)

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