OpenStudy (anonymous):

what is the meaning of vectors

4 years ago
OpenStudy (anonymous):

: a quantity that has magnitude and direction and that is commonly represented by a directed line segment whose length represents the magnitude and whose orientation in space represents the direction;

4 years ago
OpenStudy (anonymous):

Vectors are quantities that are fully described by both a magnitude and a direction. what is the meaning of scalar for you??

4 years ago
OpenStudy (anonymous):

A vector, as defined below, is a specific mathematical structure. It has numerous physical and geometric applications, which result mainly from its ability to represent magnitude and direction simultaneously. Wind, for example, had both a speed and a direction and, hence, is conveniently expressed as a vector. The same can be said of moving objects and forces. The location of a points on a cartesian coordinate plane is usually expressed as an ordered pair (x, y), which is a specific example of a vector. Being a vector, (x, y) has a a certain distance (magnitude) from and angle (direction) relative to the origin (0, 0). Vectors are quite useful in simplifying problems from three-dimensional geometry. Definition:A scalar, generally speaking, is another name for "real number." Definition: A vector of dimension n is an ordered collection of n elements, which are called components.

4 years ago
OpenStudy (anonymous):

Example: (2,-5), (-1, 0, 2), (4.5), and (PI, a, b, 2/3) are all examples of vectors of dimension 2, 3, 1, and 4 respectively. The first vector has components 2 and -5. Note: Alternately, an "unordered" collection of n elements {A1, A2, ..., An} is called a "set." Definition: Two vectors are equal if their corresponding components are equal.

4 years ago