richyw
  • richyw
shortest point between a distance and a surface? find the shortest distance between \(x^2-xy+y^2=3\) and (0,0)
Physics
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
a surface tends to be 3 dimensional; therefore the given point would have to have 3 components as well in order to reside in the same metric space.
amistre64
  • amistre64
ideally tho, you would find an equation to the normal plane of the surface that contains the given point and measure your distances within that plane of reference
richyw
  • richyw
well in this case I am assuming that it means to the point x=0,y=0 where z is arbitrary because it is a cylinder.

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amistre64
  • amistre64
looks more like a parabolic elliptic cone thingamjig to me
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amistre64
  • amistre64
otherwise its not a surface, and is meant to be a curve: http://www.wolframalpha.com/input/?i=x%5E2%E2%88%92xy%2By%5E2%3D3
richyw
  • richyw
well in 3d it is as surface. I get a cylinder on grapher. Not any close to answering the question though :(.

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