Vectors , , ..., are linearly dependent Iff there
exist Scalars , , ..., , not all zero, such that

(1) |

(2) |

(3) |

(4) |

Let and be -D Vectors. Then the following three conditions are equivalent (Gray 1993).

- 1. and are linearly dependent.
- 2. .
- 3. The Matrix has rank less than two.

**References**

Gray, A. *Modern Differential Geometry of Curves and Surfaces.* Boca Raton, FL: CRC Press, pp. 186-187, 1993.

© 1996-9

1999-05-25