I need help with the following 2 questions please
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 $\displaystyle v=<2,3,4>$ and the plane is perpendicular to the vector $\displaystyle r=<1,-2,1>$
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..