Find the Curvature of the Space Curve $\kappa = \sinh ^ { 2 } t$

question 23

Multiple Choice

Find the curvature of the space curve.
-r(t) = ti + (sinh t) j + (cosh t) k

• A) \(\kappa = \sinh ^ { 2 } t\)
• B) \(\kappa = \cosh ^ { 2 } t\)
• C) \(\kappa = \frac { \tanh ^ { 2 } \mathrm { t } } { 2 }\)
• D) \(\kappa = \frac { \operatorname { sech } ^ { 2 } \mathrm { t } } { 2 }\)

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