Number of vectors in a basis for 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.