Use the Gram-Schmidt process to generate an orthogonal set from the given linearly independent vectors:
$w_1=\begin{bmatrix} 1 \\ 1 \\ 0 \\ \end{bmatrix} $ $w_2=\begin{bmatrix} 0 \\ 2 \\ 1 \\ \end{bmatrix} $ $w_3=\begin{bmatrix} 1 \\ 1 \\ 6 \\ \end{bmatrix} $
So I said $u_1=w_1$ and $u_2=w_2-{u_1^T w_2 \over u_1^T u_1}u_1=w_2$
$u_2=\begin{bmatrix} -1 \\ 1 \\ 1 \\ \end{bmatrix} $
But I know $u_2=\begin{bmatrix} 1 \\ -1 \\ -1 \\ \end{bmatrix} $
Where did I go wrong?