The Equal command determines if two points, two lines, or two planes are equal.

Even if two lines or planes are constructed using different arguments, they can still be equal.

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

$\mathrm{l1}≔\mathrm{Line}\left(\left[0\,0\,0\right]\,⟨4\,2\,7⟩\right)\:$

$\mathrm{l2}≔\mathrm{Line}\left(\left[-4\,-2\,-7\right]\,\left[0\,0\,0\right]\right)\:$

$\mathrm{Equal}\left(\mathrm{l1}\,\mathrm{l2}\right)$

$\mathrm{true}$

$\mathrm{l3}≔\mathrm{Line}\left(\mathrm{Plane}\left(\left[7\,2\,6\right]\,⟨3\,-1\,3⟩\right)\,\mathrm{Plane}\left(\left[3\,2\,3\right]\,⟨3\,2\,-1⟩\right)\right)\:$

$\mathrm{Equal}\left(\mathrm{l1}\,\mathrm{l3}\right)$

$\mathrm{false}$

$\mathrm{Equal}\left(\left[0\,0\,0\right]\,\left[0\,1\,0\right]\right)$

$\mathrm{false}$

$\mathrm{Equal}\left(\left[3\,2\right]\,\left[3\,2\right]\right)$

$\mathrm{true}$

$\mathrm{p1}≔\mathrm{Plane}\left(\left[0\,0\,2\right]\,\left[0\,1\,2\right]\,\left[9\,3\,1\right]\right)\:$

$\mathrm{p2}≔\mathrm{Plane}\left(\left[0\,1\,2\right]\,⟨2\,0\,18⟩\right)\:$

$\mathrm{Equal}\left(\mathrm{p1}\,\mathrm{p2}\right)$

$\mathrm{true}$

$\mathrm{p3}≔\mathrm{Plane}\left(\left[3\,1\,5\right]\,⟨-4\,7\,1⟩\right)\:$

$\mathrm{Equal}\left(\mathrm{p1}\,\mathrm{p3}\right)$

$\mathrm{false}$

The Student[MultivariateCalculus][Equal] command was introduced in Maple 17.

For more information on Maple 17 changes, see Updates in Maple 17.