Vector
A vector is always a straight line that indicates location using distance and coordinates. Different types of mathematics are used depending on the type of vector required. There are many types of vectors used for different purposes including navigation, curve calculation, shape calculation and many other uses.
Vector animation
Vector animation is usually 2d animation where images and colors are stored as vectors instead of pixels. This permits cleaner and smoother images with no pixelation because images are displayed using mathematics instead of pixels.
Vector image
A vector image is made of points and bezier curves. It can be enlarged and the computer will recalculate the parts then reconstruct the shapes. This does away with pixels and the inherent resolution problems.
vector layer
Is a layer on an animation that contains only vector images or lines.