The following operations are defined for real numbers.
\[
a \ b = a + b, \, \text{if} \, a \, \text{and} \, b \, \text{both are positive, else} \, a \ b = 1
\]
\[
a \vee b = (a \times b) + a + b, \, \text{if} \, a \times b \, \text{is positive, else} \, a \vee b = 1
\]
What is
\[
\frac{(2 \ 1)}{(1 \vee 2)}?
\]