Find the value of k if the line [x,y,z]=[3,2,1] + t[k,k,-2] is parallel to the plane 3kx+y+z-6=0
..this makes absolutely no sense to me and i have no idea where to even start. any help would be greatly appreciated!
Find the value of k if the line [x,y,z]=[3,2,1] + t[k,k,-2] is parallel to the plane 3kx+y+z-6=0
..this makes absolutely no sense to me and i have no idea where to even start. any help would be greatly appreciated!
A line is parallel to a plane if and only if the dot product of the direction vector of the line with the normal vector of the plane is zero. In other words, a line is parallel to a plane iff the direction of the line is perpendicular to the normal of the plane.