3d Geometry

Consider the planes \(3 x-6 y-2 z=15\) and \(2 x+y-2 z=5\).

STATEMENT - 1 : The parametric equations of the line of intersection of the given planes are \(x=3+14 t, y=1+2 t, z=15 t\)

STATEMENT - 2 : The vectors \(14 \hat{i}+2 \hat{j}+15 \hat{k}\) is parallel to the line of intersection of the given planes.