The sky is blue because our atmosphere is made up of certain gases that refract sunlight. In other words, "white" sunlight bends into its respective colors in and on the spectrum. Different colors have different wave lengths, while red is around 650 nanometers, blue has a wavelength of around 450nm. This difference means (i would whip out an equation to illustrate the relationship, but it has been about a year and a half since i learned optic physics) that blue light is refracted more than red, bends more than red, about 10 times more in fact.
You might think, well, violet and indigo have even shorter wavelengths, so the sky should be violet/indigo. That would be true, but our biology makes us more sensitive to blue light, so we see blue instead of violet...and about the whole indigo not being a color thing, i do not know i never read anything about it. Also, the sunlight from the sun is not made up of equal proportions of all colors to form its "white" light. Therefore, another reason why we see blue is because the sun emits more blue than violet.
You can think further and realize why the sunset becomes red and orange, etc. All the light is up there, it is just refracted at different angles.
Sorry, couldn't resist haha
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