# Dimension of a Vector Space

## Dimension of a Vector Space

All the bases of a given vector space have the same number of vectors. This number determines the dimension of the vector space. This is what is meant by “basis of a vector space”.

### Examples

• The vector $$\overrightarrow{u}$$ = (3, -5, 6) is a three-dimensional vector.
• The vector $$\overrightarrow{v}$$ = (2, -3) is a two-dimensional vector.