Find the vector equation of the plane passing through the intersection of the planes and through the point (2, 1, 3).
Let the vector eq. of the plane passing through the intersection of the planes
Here,
∵ Plane passes through points (2,1,3)
4 + 4λ + 2 + 5λ - 9 + 9λ - 7 - 9λ = 0
9 λ = 10
This is the required vector eq. of the plane.