The following is the character table for the C2v, point group

C2v E C2 σv σv
A1 1 1 1 1
A2 1 1 -1 -1
B1 1 -1 1 -1
B2 1 -1 -1 1

There are two functions f2 and fbelonging to A2 and Brepresentations, respectively. The correct option for the product of two functions f1 and f2 and the integral ꭍ f1fdτ is

1
The product belongs to A2 representation and the integral is nonzero.
2
The product belongs to B2 representation and the integral is zero.
3
The product belongs to A1 representation and the integral is zero.
4
The product belongs to B1 representation and the integral is nonzero

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