Vector graphics are based on vector points, shapes, lines, curves and mathematical expressions, which allow them to scale without loss in quality and therefore much better than regular image formats such as jpg and png. Designers use vector-drawing applications to create vector graphics and from there they may serve as useful design building blocks in more or less any type of creative project. Vectors graphics are well suited for branded business collateral such as posters, flyers, logos, product packaging, carrying bags, web design, and illustrations and so on.
However, the vector format does not work well for projects based on photographic material, as converting output from cameras and scanners is impractical. Image editors does a much better job in this case.
Drawing your own vector graphic building blocks takes time, requires experience with tools and creative talent. When creating unique company branding material this may be the best track to take, however, it possible to find an almost endless supply of high quality free vector graphics online. These vector design elements can be used in your projects as they are or you may use them as inspiration and starting point for your own creative creations.
If you like vector files, and find yourself using them a lot, make sure to check out the thousands of fully-licensed premium examples found over at Envato Market.
In order to find the best free vector graphics you need to know where to look. I have taken the time to do the necessary research for you and collected all the best websites offering free vector graphic downloads for you. I have found more than 45 online vector resources and I am sure you will be able to find the design elements you need. Please let me know if I missed a great website in a comment.