An operation $\Delta$ on the set of real numbers is defined for every real number $\mathrm { a } , \mathrm { b }$ as
$$\mathrm { a } \Delta \mathrm {~b} = \left( \mathrm { a } ^ { 2 } \cdot \mathrm {~b} \right) - \mathrm { a } + \mathrm { b }$$
Given that $x \neq y$ and $x \Delta y = y \Delta x$, what is the product $x \cdot y$?\\
A) 2\\
B) 3\\
C) 4\\
D) $\frac { 2 } { 3 }$\\
E) $\frac { 3 } { 4 }$