The entirety of Dragonball Z takes place when both Vegeta and Bulma are adults.
*
Vegeta, the Prince of all Saiyans, slumped up against the tree, soaking in the warmth of the Earth's sun. It wasn't quite the same as his home planet's star, but if this was to be his new home, for now, it would have to do. Or at least it would have been good if not for that woman's voice penetrating his skull.
He glanced over at the throng. They all knew what he had done back on Namek. An entire village fell by his hand and they had not been revived. The ones that had shot glares in his direction. Yeah, like they could ever do anything to get their revenge. They should count themselves lucky that they were killed by Frieza's men and not me. Though, killing someone twice is a fucking delicious notion...
His bloodlust quickly faded as the earth woman sauntered over. What was her name again...? Bul-something? It doesn't matter. How could she be so confident? She knows who I am and what I've done.
"Hey, Vegeta," she said with both hands on her hips, "looks like you're stuck here on Earth."
Vegeta scoffed. "Stuck? More like can't be bothered leaving. Because I could if I wanted to. You couldn't stop me."
The blue haired woman stepped in closer, her nostrils flaring. "And why would I want to stop you?"
The warrior averted his gaze and shrugged. He wasn't in the mood to argue with anyone.
"What I'm trying to say, my Prince," she said the word with a roll of her eyes, "is that Capsule Corp has plenty of room, and since you did help Goku-"
"Kakarot," he spat.
Her eyes narrowed. "Help Goku defeat Frieza, then maybe you deserve a little thanks. Plus, that Saiyan stench is something else. I always thought Goku smelled weird growing up, but it seems you spaceboys have a very recognisable scent."
"Hmph, probably all the testosterone coursing through my body."
Bulma put a hand over her mouth as she chuckled. "Oh Vegeta, you really think you can impress me with your manliness?"
He glared pure Saiyan hate at her. The thought of being with her was... strangely not turning him off. She was rather pretty by human standards and she seemed to be the most talented and intelligent creature on this rock. And it she can wear an awful yellow jacket with orange boots and pull it off and still look attractive then... it only made him wonder what she looked like without those terrible clothes on. He shook his head to clear his mind. "Impress you? Don't make me laugh, woman."
She stepped up right to him and pressed a finger to his chest, right in the hole where Frieza had blasted him. "I'm offering you a place to sleep and a place to clean the filth off and you're talking back to me?"
He pushed off the tree he was leaning against and it pushed her back to. She stumbled but quickly regained her footing. "You're the one bantering!"
She withdrew her finger and crossed her arms. "Vegeta-"
"Bulma, are you okay?"
They both glanced down at the timid boy who had his fists clenched and seemed very unsure about protecting the woman.
"Fuck off, kid," Vegeta growled, "this has nothing to do with you."
"Whoa, that's no way to talk to a child, Vegeta," Krillin said as he appeared beside Gohan.
"I'm the Prince of Saiyans, I can talk how I want to whomever I want."