2-form oriented triangle, Differential Forms

  • Thread starter unintuit
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Homework Statement


Find the value of the 2-form dxdy+3dxdz on the oriented triangle with (0,0,0) (1,2,3) (1,4,0) in that order.

Homework Equations




The Attempt at a Solution


I have tried various subtraction of these coordinates and applying them to the formula but the answer is in the back of the book and I fail to see how one could get that answer.
The book does not give one example of how to calculate with 2-forms there is but a brief description and then 4 problems.

This is a problem from Edward's, 'Advanced Calculus: A Differential Forms Approach'

The answer is a negative rational number. I also fail to see how I derive a rational number from this.
 

Answers and Replies

  • #2
wabbit
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This is an unusual formulation, but have you read the first chapter of that book ?
 

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