# Thread: Unit Normal to plane

1. ## Unit Normal to plane

Plane equation is given as

z = 1 + 2x + 3y

Find the unit normal to plane...

i am using the equation ( r - r_0 ) . N = 0 but there seems to be the missing r_0....

how can i proceed? using grad which also give me the unit norm... but grad is to be act on a scalar.... i'm stuck

many thanks!

2. Originally Posted by Chris0724
Plane equation is given as
z = 1 + 2x + 3y
Write the plane as ${\color{blue}2}x+{\color{blue}3}y{\color{blue}-1}z=-1$
The colors in blue give you the normal which is ${\color{blue}<2,3,-1>}$.
If you divide by its length, then you have an unit normal.