What is a scalar? A scalar is a quantity that is fully described by a magnitude only. It is described by just a single number. Some examples of scalar quantities include speed, volume, mass, temperature, power, energy, and time. What is a vector? A vector is a quantity that has both a magnitude and a direction. Vector quantities are important in the study of motion. Some examples of vector quantities include force, velocity, acceleration, displacement, and momentum.
[The military chambers of llanberis, puddled doorway] A displacement is the shortest distance from the initial to the final position of a point P. Thus, it is the length of an IMAGINARY STRAIGHT PATH, typically distinct from the path actually travelled by P. A displacement vector represents the length and direction of this imaginary straight path.