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Unformatted text preview: Chapter 3 Vectors In Physics we have parameters that can be completely described by a number and are known as scalars .Temperature, and mass are such parameters Other physical parameters require additional information about direction and are known as vectors . Examples of vectors are displacement, velocity and acceleration. In this chapter we learn the basic mathematical language to describe vectors. In particular we will learn the following: Geometric vector addition and subtraction Resolving a vector into its components The notion of a unit vector Add and subtract vectors by components Multiplication of a vector by a scalar The scalar (dot) product of two vectors The vector (cross) product of two vectors (3-1) An example of a vector is the displacement vector which describes the change in position of an object as it moves from point A to point B. This is represented by an arrow that points from point A to point B. The length of the arrow is proportional to the displacement magnitude. The direction of the arrow indicated the displacement direction. The three arrows from A to B, from A' to B', and from A'' to B'', have the same magnitude and direction. A vector can be shifted without changing its value if its length and direction are not changed....
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