We have two identical rockets.

One rocket is located on one side of the earth and one is located directly on the other side of the earth.

At a predetermined time, each takes off with burns such that they each reach 0.99c, one rocket is therefore going along the position x-axis and the other is heading along the negative x-axis.

Question 1: What is the relative speed of the rockets? 1.98c

Question 2: If each shot a laser at each other as a signal, will they ever see the light? Yes.