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Two quick questions on subspaces (intro to tensor calc)

  1. Dec 25, 2005 #1
    So the parametric equations of a hypersurface in VN


    where a is a constant. How do I find the single equation of the hypersurface? And then from this how can it be determined whether the points (1/2a,0,0,...,0) and (0,0,0,...0,2a) are on the same or opposite sides of the surface?

    Any insight will be appreciated. Thanks. I ask another question when this thing is resolved in my mind.
  2. jcsd
  3. Dec 26, 2005 #2

    George Jones

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    Hint: What is the sum of the squares of all the coordinates?

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