Find the equation of the plane passing through the intersection of and and passing through
I forgot how these sums are done:Here's what I did:
solving the two equations we get and
hence we get the parametric equation:
hence the direction vectors=
as the line is perpendicular to the intersection, it is also the normal vector of the 3rd plane:
equation of required plane:
putting we get
new simplified equation:
but the answer given in the book is:
What am I doing wrong here?
thanks in advance.