Scattering of two laser beams

1. The problem statement, all variables and given/known data
Two laser beams, one of wavelength 633 nm and intensity I1 = 4.00×106 W/m2 with a circular beam profile D1 = 1.33 mm in diameter, and one of wavelength 442 nm and intensity I2 = 4.00×106 W/m2 with the same circular beam profile are fired, crossing at an angle of θ = 45°. Determine the intensity of the light scattered out of the 633 nm beam.

2. Relevant equations

3. The attempt at a solution
I’m not sure on how to begin this problem. I was thinking, that because of when light crosses with another light beam, this beam shouldn’t be affected at all, so I was thinking that the intensity should be the same (I highly doubt this argument is correct though). If not, then how could we determine light scattering in this aspect? How would light interact with each other in this case?

Thanks for your patience.

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