What defines a 'vector image'?

A vector image is defined by paths that are created using mathematical formulas. These paths consist of points, lines, curves, and shapes that define the image, allowing for smooth scaling and high-quality graphics without a loss of resolution. Because the image is not made up of pixels, it can be resized to any dimension without becoming pixelated or losing clarity, making it ideal for illustrations, logos, and designs where smooth edges are crucial.

The other options do not accurately describe vector images. Pixel-based images, often referred to as raster images, are made up of individual pixels, making them dependent on resolution and resulting in quality loss when resized. Furthermore, vector images can be resized freely without losing quality, making the idea that they cannot be resized incorrect. Lastly, while vector images can be designed in black and white, they are not limited to this color scheme and can incorporate a full range of colors and gradients.