Two-dimensional motion: The motion of a body on a curved path in a plane is called two-dimensional motion.
For example, the motion of a particle on a circular path in a plane, the motion of an ant on paper, the motion of vehicles on road, the motion of a projectile in a vertical palne. Two coordinate axis are required to describe two-dimensional motion.
Three-dimensional motion: The motion of a particle in space is called three-dimensional motion. To describe this motion, three coordinate axes perpendicular to each other are required. For example, the speed of a fly, the speed of a kite when there is strong wind.