1. The problem statement, all variables and given/known data Find the vector equation for the line of intersection of the planes 5x−4y+z=3 and 5x+z=1 2. Relevant equations N/A 3. The attempt at a solution I know this much. r=<__,__,0>+t<-4,__,__> Could someone explain to me what I'm actually doing? I understand how the two intersecting planes make a line, but I dont understand how to actually find it. Id really appreciate it if someone could give me the "super simple, average joe" definition I would really appreciate it. Conceptually I get it, but mathematically I dont know what I need to do.