A force F of 6 units acts in the direction 30 degrees west of north. An object is
constrained to move north-westerly, that is, 45 degrees west of north.
(a) Sketch the force vector roughly to scale on a set of axes that has the positive y
axis pointing north, and write F using exact values, either in the form (x; y) or
else in the form xi + yj.
(b) Write a vector in the direction of the given movement of the object.
(c) Without using trigonometric functions, »find both the scalar component and the
vector projection of F in the direction of movement of the object. Write both
answers as exact values, not decimal approximations.