The normal to a Plane specified by

(1) |

(2) |

(3) |

In the Plane, the unit normal vector is defined by

(4) |

(5) |

(6) |

(7) | |||

(8) |

To actually place the vector normal to the curve, it must be displaced by .

In 3-D Space, the unit normal is

(9) |

(10) |

(11) | |||

(12) | |||

(13) |

define the Vectors

(14) |

(15) |

(16) |

(17) |

**References**

Gray, A. ``Tangent and Normal Lines to Plane Curves.'' §5.5 in
*Modern Differential Geometry of Curves and Surfaces.* Boca Raton, FL: CRC Press, pp. 85-90, 1993.

© 1996-9

1999-05-25