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

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To find the nearest hyperplane to the point (2, 1, 3, -1), it's noted that there are infinitely many hyperplanes at zero distance from the point. The discussion suggests that the problem statement may be incomplete, as it lacks a reference point for the hyperplane. It is implied that the question likely pertains to identifying a hyperplane that passes through another specified point. Clarification on the problem's requirements is necessary for a proper solution. Understanding the context of the hyperplane is crucial for accurate calculations.
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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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