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## Orthogonal Basis |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z | overview |

An orthonormal basis consists of mutually orthogonal unit vectors , , .

As illustrated in the figure, any vector can be represented by a linear combination

The addends are the projections of onto the axes generated by the vectors of the ONB. For the coefficients we have

In particular, we have

**Annotation:**

automatically generated 3/17/2011 |