Find parametric equations for the line of intersection of the
planes x + y + z = 1 and
r = (1, 0, 0) + [itex]\lambda[/itex](2, 1, 0) + [itex]\mu[/itex](0, 1, 1) where [itex]\lambda[/itex], [itex]\mu[/itex] [itex]\in[/itex] R
The Attempt at a Solution
I attempted to convert the 2nd plane equation to scalar form by finding the normal: (2, -1, 0) cross product with (0, 1, -1). That ended up being i + 2j + 2k, meaning that the plane had equation x + 2y + 2z = d, subbing in the point in the vector equation (1, 0, 0) gives d =1 therefore x + 2y + 2z = 1. I'm not sure what to do from here or if what I've done is either correct or necessary.