Find the length of the perpendicular from the origin to the plane Also write the unit normal vector from the origin to the plane.
Given :
Equation of plane :
To Find :
i) Length of perpendicular = d
ii) Unit normal vector =
Formulae :
1) Unit Vector :
Let be any vector
Then unit vector of is
Where,
2) Length of perpendicular :
The length of the perpendicular from the origin to the plane
is given by,
Given the equation of the plane is
Comparing the above equation with
We get,
& p = 39
Therefore,
= 13
The length of the perpendicular from the origin to the given plane is
Vector normal to the plane is
Therefore, the unit vector normal to the plane is