The sky appears blue to us because of the manner in which gas molecules in the atmosphere interact with the visible light which reaches our eyes. Visible light contains all the colours of the spectrum however when it interacts with atmospheric gas, the blue light wavelengths (which are the shorter wavelengths than red light), vibrate more quickly than red light (red being at the other end of the colour spectrum to blue) and hence scatter across sky at a higher rate, making the sky appear blue to us.
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