In the 'goku meets king vegeta fanfiction', there could be a power struggle at first. King Vegeta is proud and Goku is powerful. However, as the story progresses, they could come to respect each other's strength. Goku might show King Vegeta new ways of looking at power, not just as a means of domination but also for protection.
In this fanfiction, perhaps King Vegeta would be initially suspicious of Bulma. He's from a warrior race and she's an Earthling scientist. He might be intrigued by her technology though, like her capsule corps inventions.
In this fanfiction, it could be that King Vegeta mistakes Trunks for a threat at first. But Trunks explains his purpose, which is to protect the Saiyan race. King Vegeta then decides to train Trunks in the traditional Saiyan ways. This training helps Trunks become even stronger and also bridges the gap between their two different generations of Saiyans.
In this fanfiction, Goku has the potential to be stronger. He has mastered different forms like Super Saiyan and beyond. However, King Vegeta is not to be underestimated. He has his own Saiyan pride and power. If it comes down to a fight, Goku's adaptability and continuous growth in power might give him an edge, but King Vegeta's experience and strategic mind could also make it a very close battle.
It might be a new character created specifically for the fanfiction. Maybe an alien race that has a vendetta against both the Saiyans and Earthlings and sees the union (even if it's just a meeting) between King Vegeta and Bulma as a sign to start a conflict.
It could be Frieza. Since he has a long - standing enmity with the Saiyans. His presence would create a great threat that King Vegeta and Trunks would have to overcome together. King Vegeta has his own history with Frieza, and Trunks knows how powerful Frieza can be in the future.
In certain fanfictions, Vegeta may have received a special power - up or training that gives him an edge over Frieza. He could use his speed and agility to dodge Frieza's attacks and then counter - attack. Vegeta might perform a series of rapid - fire punches and kicks, weakening Frieza. Finally, he could use his Final Flash technique with all his might, completely obliterating Frieza. Fanfiction often takes creative liberties to show the growth and capabilities of characters like Vegeta against a long - time foe like Frieza.
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.
A possible plot twist could be that Vegeta Jr is actually an imposter sent to deceive Vegeta. He could initially seem like a legitimate Saiyan but gradually reveal his true motives, which might be related to an enemy's plan to take down Vegeta.