If the equation of a plane , passing through the intersection of the planes, and is for some , then the distance of the point from the plane is ________ units.
Step 1: Find the equation of the plane
Let and be two planes.
Say and
Equation of plane passing through line of intersection of given planes is given by
Step 2: Comparing the equation of the plane with the given equation
The given plane is
Comparing equation and we get,
From we have
From we get
From we get
Therefore, the equation of the plane is
Step 3: Find the distance of the plane from the point
We know that the distance of the point from the plane is
Therefore the distance of the point from the plane is
Distance
Hence, the distance of the point from the plane is