Along a Circle - Maple Help

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Line Integral along a Circle in 3-D

 Description Calculate the line integral of F.dr along a circle.

Define the coordinates.

 > $\mathrm{VectorCalculus}\left[\mathrm{SetCoordinates}\right]\left({\mathrm{cartesian}}\left[{x}{,}{y}{,}{z}\right]\right):$

Define the vector field.

 >
 $\left({x}{}{y}\right){\stackrel{{_}}{{e}}}_{{x}}{+}\left({y}\right){\stackrel{{_}}{{e}}}_{{y}}{+}\left({{z}}^{{2}}\right){\stackrel{{_}}{{e}}}_{{z}}$ (1)

Specify the center, radius, and normal of the circle, and then calculate the line integral of the vector field.

 > $\mathrm{VectorCalculus}\left[\mathrm{LineInt}\right]\left(,\mathrm{Circle3D}\left(⟨{1}{,}{2}{,}{3}⟩{,}{4}{,}⟨{1}{,}{1}{,}{1}⟩\right)\right)$
 ${-}\frac{{16}}{{3}}{}\sqrt{{3}}{}{\mathrm{π}}$ (2)
 > 
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