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

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) $\kappa = \frac { 12 } { 13 }$