Given :

Equation of plane : x – 2y + 2z = 6

To Find : unit normal vector

Formula :

Unit Vector :

Let be any vector

Then the unit vector of is

Where,

From the given equation of a plane

x – 2y + 2z = 6

direction ratios of vector normal to the plane are (1, -2, 2).

Therefore, the equation of normal vector is

Therefore unit normal vector is given by