Vector has a magnitude of 37 units and points in the positive y direction. when vector is added to , the resultant vector + points in the negative y direction with a magnitude of 12 units. find the magnitude and direction of .

Apulley system is used to lift a 2,000 newton engine up a distance of 3 meters. the operator must apply a force of 250 newtons to the chain of the pulley system to lift the motor. to lift the engine 3 meters, the operator must pull a total of 30 meters of chain through the pulley system. what is the value of di?