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.
The trajectory of a particle (in red) along a curve inside a vector field. Starting from a, the particle traces the path C along the vector field F. The dot product (green line) of its displacement vector (red arrow) and the field vector (blue arrow) defines an area under a curve, which is equivalent to the path's line integral.
Speed and Velocity in One and Two Dimensions - This 28 slide physics lesson package discusses speed and velocity in both 1 and 2 dimensions, displacement, vector addition, and the cosine the sine laws. It also breaks down Position and Velocity graphs. It is geared towards students who are in high school physics, either junior or senior years. The PowerPoint contains many diagrams, examples, explanations and a video. It includes the lesson (student and teacher versions of the Power Point), 1…