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

$\mathrm{VectorCalculus}\left[\mathrm{VectorField}\right]\left(⟨x y\, y\, z^2⟩\right)$

$\left(xy\right){\stackrel{\_}{e}}_x\+\left(y\right){\stackrel{\_}{e}}_y\+\left(z^2\right){\stackrel{\_}{e}}_z$

$\mathrm{VectorCalculus}\left[\mathrm{LineInt}\right]\left(\,\mathrm{Circle3D}\left(⟨1\,2\,3⟩\,4\,⟨1\,1\,1⟩\right)\right)$

$-\frac{16}{3}\sqrt{3}\mathrm{\π}$