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Vector

Illustration

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Basic definitions

In vector algebra, a vector mathematical entity that has both magnitude (which can be zero) and direction.
In topology, a vector is an element of a vector space.

Detailed definition

A vector is formally defined as an element of a vector space. In the commonly encountered vector space R^n (i.e., Euclidean n-space), a vector is given by n coordinates and can be specified as (A_1, A_2, ..., A_n). Vectors are sometimes referred to by the number of coordinates they have, so a 2-dimensional vector (x_1, x_2) is often called a two-vector, an n-dimensional vector is often called an n-vector, and so on.

Educational grade level

high school level (California linear algebra standard)

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Distance Formula

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Volume of a Cylinder

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