Find the vector and Cartesian equations of the plane passing through the points (2,2−1),(3,4,2) and (7,0,6). Also find the vector equation of a plane passing through (4,3,1) and parallel to the plane obtained above.
OR
Find the vector equation of the plane that contains the lines

→

r

=(

^

i

+

^

j

)+λ(

^

i

+2

^

j

−

^

k

) and the point (−1,3,−4). Also, find the length of the perpendicular drawn from the point (2,1,4) to the plane, thus obtained.