Q9 of 181 Page 1181

Find a unit vector normal to the plane
x – 2y + 2z = 6.

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








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