# How can vectors be represented?

##### 1 Answer

A vector

The length of the arrow (relative to some kind of reference or scale) represents the relative **magnitude** of the vector while the arrow head gives us the **direction** in which the vector operates.

Another way to represent a vector is by giving its **components** .

Basically, in space, you choose three unit vectors ( of magnitude **linear combination** of these three unit vectors using three components (=numbers such as

For example,

Basically you can think of it as a recipe of a cake where

To "make" vector

5 units of ingredient

4 units of ingredient

6 units of ingredient