Kinda of a silly question. But I know that the sunlight is white, going through the atmosphere it became yellow, and the sky get the blue, because that is the other side of the spectrum of the colors or something like that.

Then so the shadows on things should be more bluish than the rest of it that is getting the yellow sunlight. Then something blue maintain their color in the shadow, and became more yellow in the light, right?

But in some chromatic wheels it says that purple is the opposite of yellow, and also for some reson I recall knowing shadows are purple for somewhere.

As you can see I am a little confuse, are shadows blue or purple? Is the sunlight even yellow?