Find the Curvature of the Space Curve $\kappa = - \frac { 1 } { 3 t }$

question 142

Multiple Choice

Find the curvature of the space curve.
-r(t) = (3 t sin t + 3 cos t) i + 3j + (3t cos t - 3 sin t) k

• A) \(\kappa = - \frac { 1 } { 3 t }\)
• B) \(\kappa = \frac { 1 } { 9 t ^ { 2 } }\)
• C) \(\kappa = 3 t\)
• D) \(\kappa = \frac { 1 } { 3 t }\)