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Mathematik-Online problems:

Problem 234: Construction of an Orthonormal Basis

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#./aufgabe234_en.tex#Construct an orthonormal basis for the plane spanned by the vectors

$\displaystyle \vec{a}=\left(\begin{array}{c} 4\\ 0\\ 3\\ \end{array}\right),\quad \vec{b}=\left(\begin{array}{c} 3\\ 2\\ 1\\ \end{array}\right) $

and complete the found orthonormal basis to obtain a basis of $ \mathbb{R}^3$.

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