Find Parametric Equations for the Cylinder $y ^ { 2 } + z ^ { 2 } = 16$

Multiple Choice

Find parametric equations for the cylinder $y ^ { 2 } + z ^ { 2 } = 16$

A) $\vec { r } ( s , \theta ) = 4 \cos \overrightarrow { \theta i } + 4 \sin \theta \vec { j }$
B) $\vec { r } ( s , \theta ) = 4 \cos \theta \vec { i } + 4 \sin \theta \vec { j } + s \vec { k }$
C) $\vec { r } ( s , \theta ) = \vec { s } + 16 \cos \theta \vec { j } + 16 \sin \theta \vec { k }$
D) $\vec { r } ( s , \theta ) = \operatorname { si } + 4 \cos \theta \vec { j } + 4 \sin \theta \vec { k }$
E) $\vec { r } ( s , \theta ) = \operatorname { si } + 4 \cos \theta \vec { j } + 4 \cos \theta \vec { k }$