In a production of the nutcracker, at one point the sugar plum fairy holds aloft her magic wand. A splotlight whose rays are parallel to the vector [5, 3, -2] shines on the tip of this wand (which being mathematicians we will think of as a singer point) and its shadow on the stage floor lies 12 feet from the frotn of the stage. Given that the wand is being held exactly at the front of the stage, how high is the tip from the stage floor? Note that 12 feet is the distance to the front of the stage as measured along a perpendicular. It is not the distance to the position of the wand.