## Find an Orthonormal Basis of $\R^3$ Containing a Given Vector

## Problem 600

Let $\mathbf{v}_1=\begin{bmatrix}

2/3 \\ 2/3 \\ 1/3

\end{bmatrix}$ be a vector in $\R^3$.

Find an orthonormal basis for $\R^3$ containing the vector $\mathbf{v}_1$.

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