Components of the force in (x1, 2,3) is given by the vector f-fsuppose that you transform to a new set of orthogonal axes '2.f'3) at the same origin but rotated by +30° about the 3 axis. what are the direction cosines, i. e., the elements of the rotation matrix rz(+30), and label them clearly as done in class? a. b. using (a), what are the components of f in (r',23), .e., what are fi? can give magnitude.) show that they are equal. d. why must the magnitude of the forces (result in (c)) be equal? e. if fi 1, f2 -2, and fa 3 (in newtons), what is the vector f and its magnitude?