The routine geom3d[randpoint](w, x, y, z) returns a point with the x-coordinate, y-coordinate, and z-coordinate in the interval specified by x, y, and z respectively.

When the second argument is a line, a plane, or a sphere, geom3d[randpoint] returns a point on that geometric object.

If the object obj is a line, and the third optional argument which is a range is given, w is a point of the line segment such that the parameter in the parametric equation of the line lies in that range.

If the object obj is a sphere, and the optional third, fourth arguments which are ranges are given, w is in general the point with the x-coordinate and y-coordinate restricted inside these ranges.

$\mathrm{with}\left(\mathrm{geom3d}\right)\:$

$\mathrm{randpoint}\left(w\,-10..10\,-10..10\,-10..10\right)\:$

$\mathrm{coordinates}\left(w\right)$

$\left[-\frac{2209065349}{250000000}\,-\frac{838744609}{500000000}\,\frac{244301281}{500000000}\right]$

$\mathrm{randpoint}\left(A\,-10..10\,-10..10\,-10..10\right)\:$

$\mathrm{randpoint}\left(B\,-10..10\,-10..10\,-10..10\right)\:$

$\mathrm{randpoint}\left(C\,-10..10\,-10..10\,-10..10\right)\:$

$\mathrm{plane}\left(p\,\left[A\,B\,C\right]\right)\:$

$\mathrm{randpoint}\left(\mathrm{w4}\,p\right)\:$

$\mathrm{coordinates}\left(\mathrm{w4}\right)$

$\left[\frac{8067798189}{10000000000}\,\frac{1713538653}{5000000000}\,-\frac{203857859972347425739697258423}{146514179127009683876000000000}\right]$

$\mathrm{IsOnObject}\left(\mathrm{w4}\,p\right)$

$\mathrm{true}$