Vector

A vector is used to describe a translation. The word vector comes from a Latin word vehere meaning carrier. This fits in very well with our definition of translation which came from Latin meaning the ‘action of changing something by carrying it’.

Translations involve a movement on the x axis and a movement on the y axis.

These movements are described by vectors that are written like this

\begin{pmatrix} x \ y \end{pmatrix}

This means carry a point x to the right and y up. x and y can be negative numbers which would reverse the direction of travel.

To describe a movement of three to the right and one up, we would use the vector

\begin{pmatrix} 3 \ 1 \end{pmatrix}

To describe a movement of three to the left and one down, we would use the vector

\begin{pmatrix} -3 \ -1 \end{pmatrix}