Hi..how do I find the unit vector parallel to the line of intersection of planes, 2x+2y-z=6 and x+2y+z=2. So far I got ..
THen i need to find the parametric form of the equation of a line passing thru the point A[2,2,1] that is parallel to the line of the intersection of the 2 planes above.
THanks
ic..so thats a line of intersection of 2 planes.so the unit vector which is parallel to that line is so to deduce, any line which is parallel to another line will have the same direction vector and a point which lies on it.. so the equation of the line of intersection is [a,b,c]+s[4,-3,2]..since we are not given any points which is on that line..pls correct me if im wrong..