Example 6.9 Let $\alpha,b,c\in\mathbin{\mathbb{R}}$ and define $u(x,y)=\alpha y+b$ and $v(x,y)=\alpha x+c$. Then $u,v$ satisfy (33) for any value of $a$. The corresponding special Lagrangian 3-folds are the result of applying a diagonal $\mathop{\rm SU}(3)$ matrix to one of the fibres of the fibration of Corollary 4.2.