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richyw

  • 3 years ago

shortest point between a distance and a surface? find the shortest distance between \(x^2-xy+y^2=3\) and (0,0)

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  1. amistre64
    • 3 years ago
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    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.

  2. amistre64
    • 3 years ago
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    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

  3. richyw
    • 3 years ago
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    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.

  4. amistre64
    • 3 years ago
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    looks more like a parabolic elliptic cone thingamjig to me

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  5. amistre64
    • 3 years ago
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    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

  6. richyw
    • 3 years ago
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    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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