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

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amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0a 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
 3 years ago
Best ResponseYou've already chosen the best response.0ideally 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
 3 years ago
Best ResponseYou've already chosen the best response.0well 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.

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0looks more like a parabolic elliptic cone thingamjig to me

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.0otherwise 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
 3 years ago
Best ResponseYou've already chosen the best response.0well in 3d it is as surface. I get a cylinder on grapher. Not any close to answering the question though :(.
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