File:Total 2D surface vectors.svg
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Size of this PNG preview of this SVG file: 744 × 443 pixels. Other resolutions: 320 × 191 pixels | 640 × 381 pixels | 1,024 × 610 pixels | 1,280 × 762 pixels | 2,560 × 1,524 pixels.
Original file (SVG file, nominally 744 × 443 pixels, file size: 23 KB)
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 | |
| Source | Own work |
| Author | Math buff |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:56, 1 January 2019 | | 744 × 443 (23 KB) | wikimediacommons>Math buff | Moved each surface normal to the center of its respective surface segment in the left panel. |
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