3D Cross Sections

The illustration shows the vector field placed at the points of the surface. The color of the surface is set up according to the absolute value of the vector field, while the vector field itself is of constant color,
The illustration shows the vector field placed at the points of the cross-section. Both the function and the vector field are set up inside some volume area. The cross section is calculated and then the vector field is calcuated at the points of the cross section. The color of the surface is set up according to the absolute value of the vector field, while the vector field itself is of constant color,
The illustration shows a vector field placed at the points of a cross-section. Both the function and the vector field are set up inside some volume area. The cross section is calculated and then the vector field is calcuated at the points of the cross section. The color of the surface is set up according to the absolute value of the vector field, the vector field follows the color of the surface.
Simiar illustration to the previous one. The surface is colored according to the vector field absolute value and the vector field follows the same coloring scheme
The vector fields can be placed not only in Cartesian systems but also unsing polar and cyliner coordinates. This simple sphere is set up using polar system. The vector field is set up as a three component function V_r(r,theta,phi),V_theta(r,theta,phi), V_phi(r,theta,phi),