A sled at rest is suddenly pulled in three horizontal directions at the same time, but it does not move. Paul pulls to the northeast with a force of 32 lb. Johnny pulls at an angle of 37o south of due west with a force of 54 lb. Connie pulls with a force to be determined.
a) Express the boys two forces in terms of the usual unit vectors.
b) Determine the third force (from Connie), expressing it first in component form and then as a magnitude and direction. Neglect friction.