Video showing that the standard basis is an example of an orthonormal basis. Explains how orthonormal bases make good coordinate systems since they make it easy to find coordinates. A general orthonormal basis is defined and then it is shown how to write a general vector x with respect to the orthonormal basis. Two specific vectors are given, then are shown to fulfill the requirements of an orthonormal basis and used to write a specific vector with respect to the orthonormal basis. [15:28]