You are standing at position (-3, 0, -1). The enemy is at position (7, 0, -10) and aiming a laser beam using the the vector (-1 1, 0, 9) for direction. Make a clear diagram of the situation described above and compute the answers to the questions below. Make sure to carefully explain your steps. (Hint: This is a direct application of material we covered ) 1) How far are you from the enemy's position? 2) When the enemy fires the laser beam, will it hit you? If not, by what distance will it miss you? 3) Your answer in 2) above would have been the same if the aiming direction had been exactly opposite, namely (1 1, 0, -9) (test it out for yourself!). Therefore: how can you determine that the laser was pointing roughly towards the player (player in danger) rather than pointing away (player safe)