1. Prove that the line x=1+2t, y=-1+3t, z=2+4t is parallel to the plane x-2y+z=6.
2. Find the distance between the line and the plane in 1.
thanks
the line is parallel to the vector and the plane is perpendicular to the vector
like what plato said, try to check of the vectors v, r are perpendicular to each other, i.e their dot product is 0, then the line and the plane are parallel..