Find the vector and cartesian equations of the plane passing through the points (2,5,−3),(−2,−3,5) and (5,3,−3). Also, find the point of intersection of this plane with the line passing through points (3,1,5) and (−1,−3,−1).
OR
Find the equation of the plane passing through the intersection of the planes

→

r

⋅(

^

i

+

^

j

+

^

k

)=1 and

→

r

⋅(2

^

i

+3

^

j

−

^

k

)+4=0 and parallel to x-axis. Hence, find the distance of the plane from x-axis.