One possible power for Vegeta's daughter could be energy manipulation. She might be able to not only control her ki blasts with great precision but also transform them in different ways. For example, she could make her ki blasts split into multiple smaller blasts mid - air to hit multiple targets at once. This power would set her apart from other Saiyans and give her an edge in combat.
She could have the power of super - speed. Just like her father, she has trained hard and developed the ability to move at incredible speeds. This would make her a formidable opponent in battle as she can quickly dodge attacks and launch counter - attacks.
In a fanfiction, Vegeta's daughter might have the power of telekinesis. This would be an interesting addition to her Saiyan powers. She could use telekinesis to move objects around in battle, creating distractions or using them as weapons. For instance, she could lift large boulders and hurl them at her enemies while simultaneously attacking with her ki blasts.
Vegeta's daughter could be named Trina. In the fanfiction, she grows up in a world filled with Saiyan pride. Trina is trained rigorously by her father from a young age. She has a feisty personality, much like Vegeta. One day, she encounters a new threat to the planet. Using her Saiyan powers, she battles bravely, showing that she is not just Vegeta's daughter but a powerful warrior in her own right.
If Goku and Vegeta had a baby in fanfiction, its powers could be unique in various ways. Firstly, it could have a power that is related to the fusion dance but without the need to perform the actual dance. So, it could have a natural ability to access the power levels of a fused form. Secondly, it might have an ability to sense and manipulate energy in ways neither Goku nor Vegeta can. This could include being able to absorb different types of energy from the environment and convert it into ki for itself. Thirdly, due to the combination of their genes, it could have a power that is unlocked only during extreme emotional states, which are different from the typical Super Saiyan anger - perhaps a state of extreme determination or love.
She could have enhanced physical abilities like Black Widow, such as agility and strength. And perhaps some form of Hawkeye's amazing accuracy, not just with a bow but maybe with other weapons or even in her movements.
She might have Batman's strategic mind and detective skills combined with Wonder Woman's super strength and combat abilities. Maybe she has a lasso of her own, with unique powers like being able to detect lies on a more advanced level than her mother's lasso.
She could have the power of wind manipulation like Temari. This would allow her to create powerful gusts of wind and use them for both offense and defense. Also, she might inherit Naruto's large chakra reserves, which would give her the stamina to perform complex jutsus for a long time.
She might have enhanced strength, similar to what werewolves possess. This could come in handy during battles or when she needs to physically overpower something. Also, she could have some sort of heightened senses, like better hearing or smell. These powers would be a new addition to her already impressive magical abilities.
She could have the power to control water, of course. This means she could make water move in any way she likes, like creating waves or even making water spouts. She might also be able to breathe underwater without the need for spells like the Bubble - Head Charm. Another power could be the ability to communicate with sea creatures, which would be really cool. She could ask for help from whales or dolphins, for instance.
Perhaps Vegeta Jr could challenge Vegeta to a sparring match. Vegeta, being the proud warrior he is, would accept. During the fight, Vegeta Jr might display some new techniques he's developed, which could both surprise and intrigue Vegeta. And in the end, they could form a stronger bond as they realize they share the same values and goals as Saiyans.
In this fanfiction scenario, Naruto would inherit a host of Saiyan powers on top of his ninja skills. For starters, he would have the Saiyan's natural fighting instincts and the ability to quickly recover from injuries. His power level would constantly increase as he fought, similar to how Saiyans get stronger through battles. His existing jutsus like the Rasenshuriken could be infused with Saiyan energy, making it not only cut through opponents but also blast them with a powerful ki - like force. And with his Saiyan tail, if he had one, he might have an additional form or power that was unique to him, perhaps something that combined the power of the Great Ape form with his Nine - Tailed Fox form.
She might have the ability to use the Rasengan in a new way, like infusing it with Byakugan - enhanced chakra control. This would make it more powerful and precise.