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**1. Homework Statement**

Find the normal vector equation (the equation with red in the picture below) of the plane which is normal on the vector n=(2,-2,1), and it is on distance 5 from O (i.e p=5)

**2. Homework Equations**

On this image are all the relevant equations.

http://img232.imageshack.us/img232/6030/28762075sm2.jpg [Broken]

**3. The Attempt at a Solution**

I should find [tex]n_o[/tex], and then substitute in the equation.

[tex]n_o=\frac{n}{|n|}[/tex]

So n=2i-2j+k, |n|=3, p=5

[tex]n_o=\frac{2i-2j+k}{3}[/tex]

So the equation:

[tex]r * (\frac{2i-2j+k}{3}) - 5 =0 [/tex]

The problem is that in my book they don't divide it by 3? Why ? Is my way correct?

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