What Curve, C, Is Traced Out by the Parameterization $\vec { r } = 2 \vec { i } + ( \cos t ) \vec { j } + ( \sin t ) \vec { k }$

question 36

Essay

What curve, C, is traced out by the parameterization $\vec { r } = 2 \vec { i } + ( \cos t ) \vec { j } + ( \sin t ) \vec { k }$ for 0 $\le$ t $\le$ 2 $\pi$ ?
Either give a very complete verbal description or sketch the curve (or both).

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