The IsPositionVector(v) command returns true if v is a position Vector (that is, if v was created by a call to the PositionVector command), and false otherwise.

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

$v≔\mathrm{PositionVector}\left(\left[a\,b\right]\right)$

$v≔\left[\begin{array}{c}a\\ b\end{array}\right]$

$\mathrm{IsPositionVector}\left(v\right)$

$\mathrm{true}$