(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all vectors that are perpendicular to (1,4,4,1) and (2,9,8,2)

3. The attempt at a solution

Create matrix A = [[1,4,4,1],[2,9,8,2]]

Set Ax = 0

Reduce by Gauss elimination

Produces basis of (-4,0,1,0) and (-1,0,0,1)

I don't know what the correct solution to this problem is, but as far as I understand it, it would seem that the basis should be one dimensional as the two given vectors form a plane and only a line is orthogonal to a plane, not a plane.

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# Homework Help: Orthogonal basis to two vectors in R4

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