Standard basis vectors

• In , there are two standard basis Vectors, and
• in , there are three:

• This pattern of vectors continues all that way up to
• Definition: Standard basis vectors. The standard basis vectors in are the vectors with entries, the th entry 1 and the others zero.
  • The notation is also used elsewhere
• The basis vectors define the axes and units for a coordinate plane
  • The standard basis vectors are orthogonal to each other, and are equal, but they do not have to be.