Question: An object is to be moved vertically upward by a crane. As the crane cannot get directly above the object, three ropes are attached to guide the object. One rope is pulled parallel to the ground with a force of 100 new tons in a direction 30° north of east. The second rope is pulled parallel to the ground with a force of 70 new tons in a direction 80° south of east. If the crane is attached to the third rope and can pull with a total force of 3000 new tons, find the force vector for the crane. What is the resulting (total) force on the object? (Assume vector i→ points east, vector j→ points north, and vector k points vertically up.)