Ayeka is the quiet, reserved, and repsectful princess of Jurai. Since her half-brother Yoshou left, she's been the royal Highness of Jurai. However, she left Jurai to answer Mihoshi's distress call and escape the suitor her parents wanted her to marry. Her ship crashed after a fight with Ryoko, leaving her and her sister Sasami stranded on Earth.
Ayeka is the most well-behaved character on the show, most likely because Misaki (her mother) raised her daughters to be respectful and well-behaved. She is extremely mature for her age (however old she is, or is supposed to look). She helps with a variety of household chores, generally making herself useful, and enjoys a soothing soak in the bath from time to time with the other girls. (This is especially shown in the episode in which we discover Washu has created a bathroom only the girls can get into.)
Ayeka has secret powers of her own, which are mostly defensive. She is protected by two long-dead Juraian warriors, Azaka and Kamidake, which came to Earth with her in the form of logs and can be used to create a force field. In the end of Tenchi Universe, they are revived and eventually become human again.
In the Pretty Sammy series, Ayeka is a high school classmate of Tenchi's. She is also the class president.
Ayeka in a swimsuit
Ayeka Card
Ayeka with flower petals