What is the nearest hyperplane to the point (2,1,3,-1)?

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Homework Help Overview

The discussion revolves around finding the nearest hyperplane to the point (2, 1, 3, -1). Participants are exploring the implications of the problem statement and the conditions under which a hyperplane can be defined.

Discussion Character

  • Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Some participants question the completeness of the problem statement, noting that there are infinitely many hyperplanes at zero distance from the given point. Others suggest that the problem may involve identifying a hyperplane that passes through another point to determine the nearest one.

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about the problem's formulation. There is a recognition of the need for additional information to clarify the task, and some guidance is being offered regarding the nature of hyperplanes.

Contextual Notes

Participants are considering the implications of the problem statement and the assumptions that may be necessary to proceed with finding a nearest hyperplane.

Leandromann
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Homework Statement


I have u = (2, 1, 3, -1) and I need to find the nearest hyperplane.

Homework Equations

The Attempt at a Solution

 
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Leandromann said:

Homework Statement


I have u = (2, 1, 3, -1) and I need to find the nearest hyperplane.

Homework Equations

The Attempt at a Solution

I think there must be something missing from the problem statement. There are infinitely many hyperplanes at zero distance from the given point.
 
Yeah, that's what I thought. So I'm afraid that the statement is wrong. Thank you!
 
Leandromann said:
Yeah, that's what I thought. So I'm afraid that the statement is wrong. Thank you!
Probably, this is a question about the hyperplane passing through another point that is nearest to the given point.
 

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