1) Suppose F is acting vertically downward on an object sitting on a plane that is inclined at an angle of 45 degrees to the horizontal. Express this force as a sum acting parallel to the plane and one acting perpendicular to it.
F = || F|| cos (?) + ||F|| sin (?)
2) an object is moving in the direction i + j is being acted upon by the force vector 2i + j, express this force as the sum of a force in the direction of motion and a force perpendicular to the direction of motion.