Question

Find the equation of the plane through (1,1,1) and containing the line which is the intersection of the planes x-y=2 and y-z=1

Answer 1

You can follow a procedure like here:
http://answers.google.com/answers/threadview/id/769110.html
(Comments section)

Answer 2

Line that is the intersection of 2 planes:


point: (1, 0, -1)
*note: point: (xo, yo,zo)
get the cross product of the vector generated by the planes:


v= <1,1,1>
*note: v=<a,b,c>

Equation of the line in vector form:
<x,y,z> = <at+xo, bt+yo, ct+zo>
<x,y,z> = <t+1, t, t-1>