## Problem4:Show that the line |

The position vector u, velocity vector v for the line are: |

> u := [1,0,-1]: v := [3,-2,1]:

A normal to the plane is: |

> n := [1,2,1]:

We have, |

> dotprod(v,n);

0

so the line is either parallel to the plane or the line is contained in the plane. But u doesn't belong to the plane so we are done. |

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Carlos Rodriguez <carlos@math.albany.edu> Last modified: Mon Feb 7 15:57:42 EST 2000