9. Find the vector z and the scalar such that y = x + z where

9. Find the vector z and the scalar λ such that y = λx + z where

$$y = \begin{bmatrix} 1 \\ 1 \\ -1 \end{bmatrix}; x = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$$

and such that x and z are orthogonal.