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

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amistre64Best 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.
 one year ago

amistre64Best 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
 one year ago

richywBest 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.
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
looks more like a parabolic elliptic cone thingamjig to me
 one year ago

amistre64Best 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
 one year ago

richywBest 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 :(.
 one year ago
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