Let L be the line given by x = 2 - t, y = 1 + t, z = 1 + 2t. L intersects the plane 2x + y - z = 1 at the point P = (1,2,3). Find the parametric equations for the line through P which lies in the plane and is perpendicular to L.
Im lost here. I cant find an examples on how to do this problem. I have come up with this so far
x = 1 + at
y = 2 + bt
z = 3 + ct
but Im not sure that this is right.