You are in a stationary spaceship to defend the Earth from alien invasion. Your opponent attempted to attack you using a light signal from the coordinates (3,8, 0, 0) (note that the first coordinate is the temporal component). A counterattack from your side was launched at a later time with coordinates (5, 4, 0, 0). a. Calculate for the invariant interval between the two events (attack and counterattack). Is the interval timelike, spacelike, or lightlike? b. Find an inertial frame where these two events happen at the same time. c. Find an inertial frame where these two events happen at the same place.

You are in a stationary spaceship to defend the Earth from alien invasion. Your opponent attempted to attack you using a light signal from the coordinates (3,8, 0, 0) (note that the first coordinate is the temporal component). A counterattack from your side was launched at a later time with coordinates (5, 4, 0, 0). a. Calculate for the invariant interval between the two events (attack and counterattack). Is the interval timelike, spacelike, or lightlike? b. Find an inertial frame where these two events happen at the same time. c. Find an inertial frame where these two events happen at the same place.