Problem: A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 3.1 106 kilometers before turning 70° and traveling 2.1 106 kilometers before assuming the path towards the space station.
Part A: If the captain had not ordered a course correction, what would have been the magnitude and direction of the path of the spaceship if it had traveled through the nebula?
Don't just give me the answer; explain your steps as well.