Plotting the Tangent Plane

First, solve the tangent plane equation for z as a function of x and y. I'll call this "z_pl".

> z_pl:=solve(-(x+2)+2*(y-1)-2/3*(z+3)=0,z);

[Maple Math]

>

This plane can now be plotted in parametric form, where x and y are the parameters.

> plot3d([x,y,z_pl],x=-3..1,y=0..2);

[Maple Plot]

>