Find the Curvature of the Curve $\mathbf { r } ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$

Multiple Choice

Find the curvature of the curve $\mathbf { r } ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$ .

A) $\frac { 4 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 51 } { 16 }$
D) $\frac { 16 } { 51 }$