The direct light from the sun consists of seven colors VIBGYOR (Violet, Indigo, Blue, Green, Yellow, Orange & Red). Each of these colors has different wavelengths. Violet color has the shorter wavelength(380nm) and the wavelength gradually increase with red having the higher wavelength. As the light from the sun enters the atmosphere, it collides with elements on the atmosphere like oxygen, nitrogen, etc.. The colors with shorter wavelengths are scattered more than the colors with higher wavelengths. Hence colors like violet, indigo and blue are scattered more. As violet is scattered more the sky should appear violet. But our eyes are more sensitive to colors like blue, yellow and red rather than other colors. As our eyes are more sensitive to blue rather than violet or yellow, we percieve the sky as blue.
Source(s):
http://www.why-is-the-sky-blue.tv/why-is-the-sky-blue.htm
http://math.ucr.edu/home/baez/physics/General/BlueSky/blue_sky.html


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