How do I plot an intersection of two surfaces in Matlab?
I mean this in the sense, that any line in 3D is an intersection - it can be defined by two equations in a system. How do I plot a system of two equations (one implicit, one explicit) in Matlab?
Pardon the confusion, let me explain more clearly what I meant: I've two equations - that of an ellipsoid and that of a plane, their intersection would give an ellipse (a curved line in three dimensions), I want to plot that line, preferably using Matlab's symbolics.
Ellispoid equation:
$x^2/a + y^2/a +z^2/b = 1$
Plane equation:
$x_0*x/a + y_0*y/a + z_0*z/b = 1$