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

Let L be the line in R^3 spanned by v1=(1,1,1)

Find a basis (v2,v3) for the plane perpendicular to L, and verify that B=(v1,v2,v3) is a basis for R^3.

2. Relevant equations

3. The attempt at a solution

I know that if two vectors are perpendicular or orthogonal that their dot product is equal to zero. However, I am not sure how to find a plane that is perpendicular to a vector.

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# Homework Help: Basis for Plane Perpendicular to a Line

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