Let $\vec { r } ( t ) = \sin ( t ) \vec { i } + \cos ( t ) \vec { j } + t \vec { k }$ and let C be the helix parameterized by $\vec { r } ( t )$ Find an expression for the outward pointing normal vector whose $\vec { k }$ component is 0 at an arbitrary point ( sin(t), cos(t), t)of C.

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The Answer of Let $\vec { r } ( t ) = \sin ( t ) \vec { i } + \cos ( t ) \vec { j } + t \vec { k }$ and let C be the helix parameterized by $\vec { r } ( t )$ Find an expression for the outward pointing normal vector whose $\vec { k }$ component is 0 at an arbitrary point ( sin(t), cos(t), t)of C.

Let r⃗(t)=sin⁡(t)i⃗+cos⁡(t)j⃗+tk⃗\vec { r } ( t ) = \sin ( t ) \vec { i } + \cos ( t ) \vec { j } + t \vec { k }r(t)=sin(t)i+cos(t)j​+tk

Let $\vec { r } ( t ) = \sin ( t ) \vec { i } + \cos ( t ) \vec { j } + t \vec { k }$