How do you define tearing? Can i get some screenshots please?
To understand tearing you have to understand how monitors are refreshed. Back in the stone age with CRT's, there was an electron gun shooting into the pixel. I understand moves like a book. Top left, and then renders down the screen. (twice per frame every other line if we are in interlaced NTSC mode, otherwise down once in progressive mode.)
Vsync on = The computer waits until a game has finished rendering the screen, has the screen buffer ready to render, but it waits until this electron gun is at the top left, ready to draw the screen. So when the monitor renders, the update to the screen is perfect, for every single pass the monitor is doing on the screen, the frame is there and ready to be drawn and the result is "perfectly" in sync with the monitor.
Vsync off = The computer waits until the game has finished rendering the scene, and has the screen buffer ready to render. But it does not wait for the electron gun to be in the top left position, and instead starts drawing immediately to the screen when the frame is ready. This leads to the top half of the screen being the last frame that was rendered, and the new frame rendering half way down the screen (or whereever the gun may be placed at the time). So that gives you the appearance of things being sliced in half on the screen where the top is one frame, and the bottom might be another frame and things won't line up exactly all the time. Hence the term tearing.