Let ${\bf r},{\bf s}\in\mathbin{\mathbb{C}}^{3}$ be linearly independent over $\mathbin{\mathbb{R}}$, with $\omega({\bf r},{\bf s})=0$. Then ${\bf r},{\bf s}$ and ${\bf r}\times{\bf s}$ are linearly independent over $\mathbin{\mathbb{R}}$, and $\langle{\bf r},{\bf s},{\bf r}\times{\bf s}\rangle_{\scriptscriptstyle\mathbb{R}}$ is the unique special Lagrangian $3$-plane in $\mathbin{\mathbb{C}}^{3}$ containing $\langle{\bf r},{\bf s}\rangle_{\scriptscriptstyle\mathbb{R}}$.