File:Total 2D surface vectors.svg

Summary

Description
English: This image depicts how in 2 dimensions, the total surface vector of a 1D surface is a 90 degree rotation of the displacement between the two endpoints (the boundary of a 1D surface), and is therefore purely a function of the endpoints. In the left panel, a 1D surface is a sequence of black line segments, and the surface vectors of each segment are denoted by the dashed red arrows. Each surface vector is a 90 degree rotation of the displacement along the surface. The long grey line is the net displacement between the endpoints of the surface, and the dashed pink arrow is a 90 degree rotation of this net displacement. In the right panel, the pink arrow is shown as the sum of the dashed red arrow vectors, hence the "total surface" is purely a function of the 1D surface's endpoints.
Date
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Author Math buff

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Category:CC-BY-SA-4.0#Total%202D%20surface%20vectors.svgCategory:Self-published work
Category:Vector calculus Category:Vector fields Category:Mathematical diagrams
Category:CC-BY-SA-4.0 Category:Mathematical diagrams Category:Self-published work Category:Vector calculus Category:Vector fields