The starships Picard and La Forge are traveling in the same direction toward the Andromeda galaxy. The Picard moves with a speed of 0.90c relative to the La Forge. A person on the La Forge measures the length of the two ships and finds the same value.
(a) If a person on the Picard also measures the lengths of the two ships, which of the following is observed:
(i) The Picard is longer;
(ii) The La Forge is longer; or
(iii) Both ships have the same length? Explain.
(b) Calculate the ratio of the proper length of the Picard to the proper length of the La Forge?