To make expressions involving several variables easier to deal with, we use vectors, which are ordered lists of numbers or variables. We say that the number of entries in the vector is its …

A vector V in the plane or in space is an arrow: it is determined by its length, denoted V and its direction. Two arrows represent the same vector if they have the same length and are parallel …

Definition: A vector is a list of numbers. There are (at least) two ways to interpret what this list of numbers mean: One way to think of the vector as being a point in a space. Then this list of …

We shall begin our discussion by defining what we mean by a vector in three dimensional space, and the rules for the operations of vector addition and multiplication of a vector by a scalar.

A vector is a quantity that has both magnitude and direction. Vectors are represented by a directed line segment (or arrow) with an initial point P and terminal point

Many concepts concerning vectors in Rn can be extended to other mathematical systems. We can think of a vector space in general, as a collection of objects that behave as vectors do in …

vector is a bookkeeping tool to keep track of two pieces of information (typically magnitude and direction) for a physical quantity. Examples are position, force and velocity.