VIT - VITEEE 2025
ApplyNational level exam conducted by VIT University, Vellore | Ranked #11 by NIRF for Engg. | NAAC A++ Accredited | Last Date to Apply: 31st March | NO Further Extensions!
Family of Plane is considered one of the most asked concept.
29 Questions around this concept.
Equation of plane passing through line of intersection of
Equation of plane parallel to a given plane
Parallel planes have the same normal vectors, so the equation of plane parallel to
In cartesian form, if
Plane passing through the intersection of two given planes
Vector Form
Equation of plane passing through the intersection of planes
Proof:
Let
If
Therefore, for all real values of
Since,
Hence, the equation
Cartesian Form
In the Cartesian system, let
then the vector equation,
which is the required Cartesian form of the equation of the plane passing through the intersection of the given planes for each value of λ.
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