? orthogonal hyperplane

From: "asecant@xxxxxxxxx" <asecant@xxxxxxxxx>
Date: Mon, 21 Jul 2008 05:10:26 EDT

Hi:

Given a vector, in 2D, there are two vectors being

orthogonal to that given vector and they are lying on

a line. In 3D, we have inf many such vectors being

orthogonal to that given vector and they all lie on an

orthogonal plane.

My question is: how about in a dimension that is higher

than 3D? What will be the dimensions of the object (or

maybe a hyperplane) that contains all the orthogonal

vectors to that given vector?

Thanks,
.

Follow-Ups:
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  - From: Tonico
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  - From: I.N. Galidakis

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Re: ? orthogonal hyperplane
... orthogonal to that given vector and they are lying on ... how about in a dimension that is higher ... maybe a hyperplane) that contains all the orthogonal ... I.N. Galidakis ...
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Re: ? orthogonal hyperplane
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