Understanding Wave Interference: Explaining the Effects of Wave Interaction

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boredooom
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Hi. Could anyone tell me what would happen if these two waves meet? I would also appreciate it if anyone could explain to me how they arrived at their conclusion.

http://img145.imageshack.us/img145/6854/wavest1.png
 
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A left-travelling wave and a right-travelling wave of the same amplitude and wavelength will form standing waves. Is this a homework problem?
 
for linear waves, a particle at the midpoint between those waves will oscillate once with twice the amplitude of the original waves.
 
Does a photon move in a 1 dimensional direction, or does it move like a wave covering all 'three dimensional' area as it is emitted. (like all 360 degrees on a paper, only three dimensional)