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Thread: Normal form of a line example

  1. #1
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    Question Normal form of a line example

    My textbook didn't explain normal form of a line that well, so I'm a quite confused about the example they gave to illustrate the concept further. As follows:

    Normal form of a line example-screen-shot-2019-10-03-8.00.59-pm.png

    First, how do you get from $\vec{n}\vec{x} - \vec{n}\vec{p}$ to $x + y + z - 2$?

    Second, it says "using the row reduction algorithm" ... what do I apply the row reduction algorithm on?

    Would really appreciate help!
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  2. #2
    MHF Contributor
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    Re: Normal form of a line example

    1. Let vector x be (x, y, z) written vertically.
    Calculate the DOT products (note you have left out the DOTs in your post).

    2. Refer to the little "a" in your last question. This probably takes you back to where this method is described in your textbook.
    Last edited by Debsta; Oct 3rd 2019 at 05:58 PM.
    Thanks from topsquark and otownsend
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