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Homework Help: 2-form oriented triangle, Differential Forms

  1. Mar 5, 2015 #1
    1. The problem statement, all variables and given/known data
    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.

    2. Relevant equations

    3. 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.
  2. jcsd
  3. Mar 6, 2015 #2


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    Gold Member

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