Area vectors of oriented surfaces

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Discussion Overview

The discussion revolves around the nature of area vectors associated with oriented surfaces, specifically whether they are always perpendicular to the surface and the conventions regarding their orientation. The scope includes conceptual clarification and technical explanation.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant questions if area vectors of oriented surfaces are always perpendicular to the surface.
  • Another participant asserts that area vectors are indeed always perpendicular to the surface.
  • A different participant mentions that the convention is for the area vector to point out of the surface.
  • It is noted that this convention applies specifically to closed surfaces, and more general terms like "upward" or "downward" normals can be used for other cases.

Areas of Agreement / Disagreement

There is a mix of agreement and disagreement among participants regarding the nature of area vectors and their orientation conventions. Some participants agree on the perpendicularity of area vectors, while others introduce nuances related to surface types.

Contextual Notes

The discussion highlights the dependence on surface types and conventions, indicating that assumptions about area vector orientation may vary based on context.

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Are area vectors of oriented surfaces always perpendicular to the surface?
 
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welcome to pf!

ih mathwizeguy! welcome to pf! :wink:
mathwizeguy said:
Are area vectors of oriented surfaces always perpendicular to the surface?

simple answer … yes! :smile:
 
Also, you should know that the convention is for the area vector to point out of the surface.
 
lugita15 said:
Also, you should know that the convention is for the area vector to point out of the surface.
Such a convention would only hold for a closed surface. You can, more generally, refer to "upward" or "downward" normals, "inward" or "outward" normals, etc.
 

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