The convert/PhysicsVectors and convert/VectorCalculus routines convert vectors of one of the VectorCalculus or Physics:- Vectors packages into a vector of the other one.

According to the conventions of the Physics[Vectors] package, the conversion of one of its vectors to the VectorCalculus package always returns a VectorField.

$\mathrm{with}\left(\mathrm{VectorCalculus}\right)\:$$\mathrm{with}\left(\mathrm{Physics}\left[\mathrm{Vectors}\right]\right)\:$

$R≔x\mathrm{\_i}+y\mathrm{\_j}+z\mathrm{\_k}$

$R≔x\stackrel{\wedge }{i}+y\stackrel{\wedge }{j}+z\stackrel{\wedge }{k}$

$\mathrm{type}\left(R\,\mathrm{algebraic}\right)$

$\mathrm{true}$

$\mathrm{R2}≔\mathrm{convert}\left(R\,\mathrm{VectorCalculus}\right)$

$\mathrm{type}\left(\mathrm{R2}\,\mathrm{algebraic}\right)$

$\mathrm{false}$

$\mathrm{lprint}\left(\mathrm{R2}\right)$

Vector[row](3,{1 = x, 2 = y, 3 = z},datatype = anything,storage = rectangular,
order = Fortran_order,attributes = [vectorfield, coords = cartesian[x,y,z]],
shape = [])

$\mathrm{R3}≔\mathrm{convert}\left(\mathrm{R2}\,\mathrm{PhysicsVectors}\right)$

$\mathrm{R3}≔x\stackrel{\wedge }{i}+y\stackrel{\wedge }{j}+z\stackrel{\wedge }{k}$

$\mathrm{lprint}\left(\mathrm{R3}\right)$

_i*x+_j*y+_k*z

$\mathrm{evalb}\left(\mathrm{R3}=R\right)$

$\mathrm{true}$