Reduce the equation to normal form and hence find the length of perpendicular from the origin to the plane.
The given equation of the plane is
or
, where
For reducing the given equation to normal form, we need to divide it by .
Then, we get,
Dividing both sides by – 1, we get
……(i)
The equation of a plane in normal form is
……(ii)
Where d is the distance of the plane from the origin
Comparing (i) and (ii)
Length of the perpendicular from the origin to the plane = d = 2 units.