The answer to that actually involves mathematics. When I first encountered vector files, I was confused about how you could draw a shape that would stay smooth at any resolution. In contrast, a circle drawn in a vector drawing program like Corel Draw would appear perfectly smooth at any resolution.
If you draw a circle in a program that uses pixel mapping, and you zoomed in on that circle, eventually it would look highly pixelated, and the smooth edges of the circle would be covered in tiny edges. A key feature of vector files is that they contain lines and shapes, and that the lines and shapes are perfectly scale-able – they remain smooth at any resolution. When the laser cuts into your chosen material, it cuts in lines.
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