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File:Exterior calc cross product.png

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Description
English: The cross product viewed in terms of the exterior product and Hodge dual. In red are the unit normal vector and unit "parallel" bivector. The cross product, as the dual of the bivector, has the same magnitude relative to the unit normal vector as the bivector has relative to the unit bivector -- thus the magnitude of the cross product is the area of parallelogram formed by the bivector.

SVG source code (SVG is rendered poorly by the current renderer, especially text and arrows)





  
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
    
      
    
  
  
  
    
      
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Date 20 May 2007 (original upload date)
Source Transferred from en.wikipedia; transferred to Commons by User:Drilnoth using CommonsHelper.
Author Original uploader was Leland McInnes at en.wikipedia
Permission
( Reusing this file)

Released into the public domain (by the author).

Licensing

PD-icon.svg This work has been released into the public domain by its author, Leland McInnes at the wikipedia project. This applies worldwide.

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Leland McInnes grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
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