Two high power laser beams directed at right angles to each other show no significant interaction. Is this sufficient to show that light is a wave and not a particle?
In principle the two lasers are going to interact no matter what powers they have or how different their wavelengths are!! For us to observe any cognizable results out of such experiment will depend upon how good is the employed detection technique. Regarding the duality, one can explain using both the concepts (wave and particle) what will happen in above explained experiment. For the detail understanding, kindly refer to Feynman lectures/diagrams for the explanation of propagation/scattering/superposition of light.
The particle or wave nature decided based on the phenomenon of experiment. If the two light waves passed at right angles they will go out of phase even one cannot get interference also.