In Greek mythology, Heracles son of Zeus his Roman name is Hercules was famous for godlike strength, and for killing several mythical beasts while going on the multitude of adventures. In one of his adventures, he faces hydra (a nine-headed serpent). Hercules utilizes all his might to hurl the spear toward hydra with the force of 2000 Newtons and at the angle of 34 degrees. (a) Find vector v in component form that represents force of spear Hercules has thrown. (b) Hydra can't withstand the horizontal blow which is more than 1500 Newtons of force. Does Hercules kill the beast justify your answer? (e) Find out the unit vector u which points in same direction as the vector v.