Greetings,(adsbygoogle = window.adsbygoogle || []).push({});

If I have two planes,

2x - y + 5z = 4 and -4x + 2y - 10z = 5

can I give the distance between them by simply subtracting their points?

(8x,-3y-5z) ?

(I intended to set this up so that they do not intersect, I hope I did that correctly).

Furthermore, can anyone shed some light on why the distance formula for a point - plane is

[tex]D= \frac{| ax_{o} + by_{o} + cz_{o} + d |}{\sqrt{a^{2} + b^{2} + c^{2}}}[/tex]

where a,b,c,d are points on the plane and x,y,z are the point coordinates?

Thank you!

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Distance between point-plane & plane-plane

Loading...

Similar Threads - Distance between point | Date |
---|---|

Newbie question: Algebra of Mahalanobis distance | Nov 11, 2013 |

Finding the distance between a point and a plane using dot products | Feb 3, 2012 |

Distance between invertible elements of a normed algebra | Nov 15, 2010 |

Distance between two linear subspaces | Oct 17, 2010 |

Distance between subspaces | Apr 11, 2010 |

**Physics Forums - The Fusion of Science and Community**