Let $P$ be the plane, passing through the point $(1,-1,-5)$ and perpendicular to the line joining the points $(4,1,-3)$ and $(2,4,3)$. Then the distance of $P$ from the point $(3,-2,2)$ is
A surface comprising all the straight lines that join any two points lying on it is called a plane in geometry. A plane is defined through any of the following uniquely:
Using three non-collinear points
Using a point and a line not on that line
Using two distinct intersecting lines
Using two separate parallel lines
Properties of a Plane:
In a three-dimensional space, if there are two different planes than they are either parallel to each other or intersecting in a line.
A line could be parallel to a plane, intersects the plane at a single point or is existing in the plane.
If there are two different lines that are perpendicular to the same plane then they must be parallel to each other.
If there are two separate planes which are perpendicular to the same line then they must be parallel to each other.
