File:Total surface vector of a ribbon is 0.svg

Summary

Description
English: This image demonstrates that the total surface vector of a surface that is a closed ribbon is 0. The top image shows a surface that is a closed ribbon where the width of the ribbon is constant, the width is always parallel to the vertical dimension, and the edge is always perpendicular to the vertical dimension. The surface is sub-divided into tiny rectangular portions, the surface vectors of which are shown. The lower-left image shows the same surface from a top down perspective. In the lower-right image, the surface vectors are all rotated 90 degrees counter-clockwise around the vertical dimension and clearly sum to 0.
Date
Source Own work
Author Math buff

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Category:CC-BY-SA-4.0#Total%20surface%20vector%20of%20a%20ribbon%20is%200.svg
Category: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