A Vector that an element of a Basis for a Vector Space, which is a Set of Linearly Indepedent whose Linear Combinations can represent any vector in that space.

Standard Basis Vector

Standard basis vectors in that have a one entry for each dimension, and zeros for the rest,

  • e.g. for :
  • You could choose any basis for so long as it is linearly independent, but the standard basis for a dimension is the most convienient one