For a given vector $\mathbf{w}=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]^{\mathrm{T}}$, the vector normal to the plane defined by $\mathbf{w}^{\mathrm{T}} \mathbf{x}=1$ is
- $\left[\begin{array}{lll}-2 & -2 & 2\end{array}\right]^T$
- $\left[\begin{array}{lll}3 & 0 & -1\end{array}\right]^T$
- $\left[\begin{array}{lll}3 & 2 & 1\end{array}\right]^T$
- $\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]^T$