Is it possible to display e.g., $z=x^2+y^2$ with Plot3D and in the same box, in the $z=0$ plane, plot its gradient?
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$\begingroup$ Check out mathematica.stackexchange.com/questions/14863/… $\endgroup$– ZviovichCommented Dec 24, 2014 at 20:07
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$\begingroup$ Related: mathematica.stackexchange.com/q/18758 $\endgroup$– Michael E2Commented Dec 25, 2014 at 5:33
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1 Answer
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p = Plot3D[x^2 + y^2, {x, -1, 1}, {y, -1, 1}];
pv = VectorPlot3D[{{2 x, 2 y, 0}, {-2 y, 2 x, 0}}, {x, -1, 1}, {y, -1,
1}, {z, -0.01, 0.01},
PlotRange -> {Automatic, Automatic, {-1, 1}}];
Show[pv, p]
answered Dec 24, 2014 at 20:50