1. The problem statement, all variables and given/known data I am given a line that passes through the points (x0, y0, z0) and (x`,y`,z`) and a plane in 3D space being defined by these three nonlinear points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3). Im directed to use cramers rule to find the intersection of the line and plane. Applying cramer's rule should be fairly straight forward once I get to the equations I need. 2. Relevant equations x = x0 + (x` - x0)t x= x1 + (x2 - x1)u + (x3 - x1)v 3. The attempt at a solution What I think I need is a system of 3 equations to apply cramers rule and find the intersection point. My three variables are t,u and v. so I think I would need 3 equations with 3 variables each. Im not sure what to do with the terms that have no unknown variable but just a value or "known" variable. Any hints towards the right direction? Thank you!