How can area be a vector? (flux equation)

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SUMMARY

The discussion centers on the concept of area as a vector in the context of the flux equation, specifically the equation flux = E-vector dot product A-vector. The area vector's direction is determined by the normal to the surface, which is essential for defining the plane in which the area resides. This understanding is crucial for applying vector calculus in physics, particularly in electromagnetism.

PREREQUISITES
  • Understanding of vector calculus
  • Familiarity with the concept of surface normals
  • Knowledge of the flux equation in electromagnetism
  • Basic principles of dot products in vector mathematics
NEXT STEPS
  • Study the properties of surface normals in vector fields
  • Learn about the application of the flux equation in electromagnetism
  • Explore vector calculus techniques for calculating flux
  • Investigate the relationship between area vectors and physical surfaces
USEFUL FOR

Students and professionals in physics, particularly those focusing on electromagnetism and vector calculus, will benefit from this discussion.

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Homework Statement


How can area be a vector? ( flux = E-vector dot product A-vector )
?

Homework Equations





The Attempt at a Solution

 
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If my memory serves me correctly the area vector's direction is given by the normal to the surface.

It allows for us to define the plane in which the area lies.
 

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