If a basis has this property, then any vector can be expressed as the sum of projections onto its vectors.   In addition to normalizing a set of vectors, the Gram-Schmidt process gives them this property. The  gradient of a function has this relationship to its level curves. In the equation of a plane, the vector   whose components correspond to the coefficients has this relationship to the plane. If two vectors  have t
If a basis has this property, then any vector can be expressed as the sum of projections onto its vectors.   In addition to normalizing a set of vectors, the Gram-Schmidt process gives them this property. The  gradient of a function has this relationship to its level curves. In the equation of a plane, the vector   whose components correspond to the coefficients has this relationship to the plane. If two vectors  have this property, then the product of their magnitudes equals the magnitude of their cross product,  and their dot product equals zero. If two lines in the Cartesian plane have this property, then their  slopes are opposite reciprocals. Name this property of lines that meet at right angles.
If a basis has this property, then any vector can be expressed as the sum of projections onto its vectors.  