A person is walking 3 dogs fastened to seperate leashes that meet in a connective hub, leading to a single leash that she is holding. Dog 1 applies a force of 60 degrees NW with a magnitude of 8; dog 2 applies a force of 45 degrees clockwise of N with a magnitude of 6; and dog 3 move directly N with a magnitude of 12. Find the magnitude and direction of the force that the walker applies to the leash in order to counterbalance the total force exerted by the dogs.