Unlike using dpi such as a raster image does, a vector image is defined by math. When a program sizes a vector image up and down, it is simply multiplying the mathematical description of the object by a scaling factor. An example would be, in order to double the size of a 1'' square object, it would need to be multiplied by a factor of 2. The math is simply recalculated to produce an object double the size. Since vector images are capable of scaling up or down without the loss of image quality, they can be printed at any resolution that a printer is able to produce. Because the vector images don't use dots per inch or scanning resolution like the raster images, they create a much better quality and this is a big reason why vector graphics are mainly used in clip art.
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