(A) Find the equation of the plane through the intersection of the plane :
3x - y + 2z - 4 = 0 and x + y + z - 2 = 0
and the point (2,2,1).
(b) Find the vector equation of the plane through the intersection of the planes :
`vec(r) . (hati + hatj + hatk) = 6 " and " vec(r). (2 hati + 3 hatj + 4 hatk) = - 5 ` at the point. (1,1,1).

Answer

`vec(r). (20 hati + 23 hatj + 26 hatk) = 69`.