Find the Curvature of the Curve $\mathbf { r } ( t ) = 2 \sin 7 t \mathbf { i } + 2 \cos 7 t \mathbf { j } + 2 t \mathbf { k }$

Multiple Choice

Find the curvature of the curve $\mathbf { r } ( t ) = 2 \sin 7 t \mathbf { i } + 2 \cos 7 t \mathbf { j } + 2 t \mathbf { k }$ . Select the correct answer.

A) $\frac { 7 } { 2 }$
B) $\frac { 2 } { 7 }$
C) $\frac { 49 } { 100 }$
D) $\frac { 100 } { 49 }$