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

[Leandromann]

Homework Statement

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

Homework Equations

The Attempt at a Solution

 

[tnich]

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.

 

[Leandromann]

Yeah, that's what I thought. So I'm afraid that the statement is wrong. Thank you!

 

[tnich]

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.