Surface integrals and vector normals in 3D

This demo is a 3D visualization that helps you understand fundamental concepts of surfaces and vectors in a half-space. Surface Normal Vector: It visualizes the surface normal vector $n$, which points outward from the object. Differential Surface Area Vector: It shows the differential surface area vector $d S$, which is related to the normal vector and the surface area element. Effect of Parametrization: You can observe how changing the order of parametrization reverses the direction of the surface normal vector, illustrating the right-hand rule. Pressure: The effect of pressure on the surface is represented by a change in the surface's color, providing a visual cue for the applied force.

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