No Need for Tenchi! Vol 2

From the VIZ Media edition

When villanious alien scientist Yakage challenges Tenchi to a duel to the death, Princess Ayeka's life hangs in the balance! Is Tenchi's "Sword of the Light Hawk" more powerful than Yakage's blade, the result of centuries of painstaking scientific research? And which of the two is the better swordsman? Plus, two humorous tales! When Tenchi gets a cold, the girls trip over each other for the honor of nursing him back to health. Will he survive their attentions? Then, although Galaxy Space Police Officer Mihoshi can pilot a spaceship across the cosmos, when she takes driving lessons you better clear the sidewalks-er-road! However, when she sees a girl get kidnapped, our heroine hits the gas with her lead foot and goes into hot pursuit!

Source: Anime News Network Encyclopedia