Violet light has a shorter wavelength compared to blue light, still, we are able to see the sky as blue due to:

Although violet light has a shorter wavelength than blue light, it is scattered more by the Earth's atmosphere due to its higher energy. 

This means that as sunlight passes through the atmosphere, more of the blue light is able to penetrate through to our eyes, giving the sky its blue colour. 

Violet light is scattered more than blue light, but it is not as abundant in sunlight as blue light. As a result, blue light dominates what we see in the sky during the day.