Final answer:
Hector implies that by exhibiting honor and bravery, his son could bring joy to his mother's heart.
Step-by-step explanation:
According to Hector's viewpoint, by "bearing," his son might bring joy to his mother's heart through acts that reflect honor, bravery, and the upholding of family reputation. These virtues were highly esteemed in ancient cultures and would have been seen as a means to bring pride and happiness to his mother, by carrying on the family legacy in a commendable manner.