Can you use a computer mouse with your "wrong" hand?

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I know it's not the same as handwriting, but I find it impossible to use a computer mouse with the hand I don't write with. I am left-handed - there is nothing physically wrong with my right hand, but it just doesn't want to know when it comes to a whole lot of things, including mouse manipulation. When I use a "public" computer at either library where I work, my colleagues always know that I've been there because the mouse will have switched to the left side of the keypad - and for some reason I never remember to put it back! The photo is not of my hand but a stock photo taken from a copyright-free source. I don't do what this guy does and use two fingers for the left and right buttons. Instead, I hold the mouse at an angle and use my index finger for both buttons. This has always struck me as the natural thing to do. Tell me - am I normal in this, or ever so slightly odd?