# Thread: Normal form of a line example

1. ## 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:

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!

2. ## 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.