# Fundamentals of Physics/Vectors

A vector is a two-element value that represents both magnitude and direction.

Vectors are normally represented by the ordered pair or, when dealing with three dimentions, the tuple . When written in this fashion, they represent a quantity along a given axis.

The following formulas are important with vectors:

## Addition and subtraction[edit | edit source]

Addition is performed by adding the components of the vector. For example, c = a + b is seen as:

With subtraction, invert the sign of the second vector's components.

## Multiplication (Scalar)[edit | edit source]

The components of the vector are multiplied by the scalar:

## Division[edit | edit source]

While some domains may permit division of vectors by vectors, such operations in physics are undefined. It is only possible to divide a vector by a scalar.

As with multiplication, the components of the vector are divided by the scalar:

This page or section is an undeveloped draft or outline.You can help to develop the work, or you can ask for assistance in the project room. |