Find equation of line of intersection of planes r.(3i-j+k)=1 and r.((i+4j-2k)=2
a x b gives a perpendicular vector to a and b...(i)
The Attempt at a Solution
to write equation of a line r=a+tb we need a point a on the line and a parallel vector b. Taking the cross product of 3i-j+k and i+4j-2k gives us b, assuming r to be xi+yj+zk, we get 3x-y+z=1 and x+4y-2z=2, putting...2 equations in three variables, how do we end up finding a and is there a faster method?