File:Total 2D surface vectors.svg

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Original file(SVG file, nominally 744 × 443 pixels, file size: 23 KB)

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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.
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Author Math buff

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I, the copyright holder of this work, hereby publish it under the following license:
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This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
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  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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File history

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Date/TimeThumbnailDimensionsUserComment
current22:56, 1 January 2019Thumbnail for version as of 22:56, 1 January 2019744 × 443 (23 KB)Math buff (talk | contribs)Moved each surface normal to the center of its respective surface segment in the left panel.
06:22, 28 December 2018Thumbnail for version as of 06:22, 28 December 2018744 × 443 (23 KB)Math buff (talk | contribs)User created page with UploadWizard

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