The IsRootedVector(v) command returns true if v is a rooted Vector (that is, if v was created by a call to the RootedVector command) and false otherwise.

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

$v≔\mathrm{RootedVector}\left(\left[a\,b\right]\,\mathrm{root}=\left[1\,1\right]\,\mathrm{coordinates}=\mathrm{polar}\left[r,\mathrm{\theta }\right]\right)$

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

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

$\mathrm{true}$