## Mathematical Analysis## Vector and Other Analyses |

## What is the component of a vector? |

A component of a vector is one with *n* numbers in a certain order. It is usually listed as (*x*_{1}, *x*_{2}, …, *x*_{n}), in which the numbers within the parentheses are called the components of the vector .

Logically, an infinite number of vectors can have the same components. For example, if the components are [3, 4], we know there are an infinite number of pairs of points in the plane with *x* and *y* coordinates whose respective differences are 3 and 4. All these vectors are parallel to each other, equal, and have the same magnitude and direction. Therefore, any vector with components of *a* and *b* can be said to be equal to the vector [*a*, *b*].