Recent content by hjaramil

  1. H

    I Outer product in geometric algebra

    I believe I answered my own question. There are several definitions of inner products. Here is one. I believe I answered my own question. There are several definitions of inner prodcut. Here is one (right contraction) if $$A_j$$ is a j-vector and $$B_k$$ is a k-vector then $$A_j \cdot B_k=...
  2. H

    I Outer product in geometric algebra

    Is there a formal proof of (e1∧e2)⋅e3 = 0 ? Thanks
  3. H

    Studying I'm doing EVERY exercise in munkres' topology textbook

    I think I solved it. The idea is to apply the mean value theorem six times: For each of the three components in each of the two directions. Since the mean value theorem is for functions from R^n -> R, I could have a different point for each of the (3) components on each of the (2)...
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    Studying I'm doing EVERY exercise in munkres' topology textbook

    Tom I am trying to solve problem 4 of page 193 of Munkres "Analysis of Manifolds". It confuses me that he suggest the use of SIX (6) points to find tha area of a triangle. Why six points? Any hint? thanks.
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