Finding a Particle's Location in 3D from 2D Information

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hollowx9
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Given the equation y=x + 1, x=2. Then y=3, I have just clearly specified Exactly where a particle is in 2 dimensions, it is at the location (2,3) in the Cartesian plane. If given the information of where a particle is in 2 dimensions is it possible to find its location in the 3rd dimension?
 
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Not without further information.