Q) Geometrically represent {-5,7,3} x {-1,1)
Ans) Is this {(-5,-1),(-5,1),(7,-1),(7,1),(3,-1),(3,1)}
OR
i represent it in 3*2 dimentional space.
$\displaystyle \{-5,7,3\} \times \{-1,1\}$ would normally denote the set of all ordered pairs with the first element drawn from the first set and the second from the second set. So the answer is $\displaystyle \{(-5,-1),(-5,1),(7,-1),(7,1),(3,-1),(3,1)\}$ which is a set or points in $\displaystyle \mathbb{R}^2$.
RonL