Are all violinists right handed?

I'm listening to a lot of music lately.

 One thing l've noticed is that all the orchestras have right handed violinists. 

Watching all this music has had me musing about learning a musical instrument. I love the violin but l would play it left handed. Have any of you seen an orchestra with left handed violinists? The typical orchestra formation is like a horse shoe. Violins are on the left and then we move to the flutes and woodwind instruments with the cellos and double bass on the right.

Have you ever seen  this formation reversed? Cellos on the left and violins on the right?

Are all children who want to learn the violin right handed?

I tried to learn the ukulele. Even though the ukulele was strung for left handed play all the books, sheet music was for a right handed player. I couldn't play it right handed.

So, if you play the violin can you let me know if you are right handed.