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

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amistre64 Group TitleBest ResponseYou've already chosen the best response.0
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 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
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
 2 years ago

richyw Group TitleBest ResponseYou've already chosen the best response.0
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.
 2 years ago

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

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
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
 2 years ago

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