In the Top goku uses that mine technique and that hexa technique. If you look at their respective fights against broly vegeta used a big bang attack a move he already knows and it's a blast while goku used a new technique which broly copied shortly after it was used and was going to use a new attack on broly.

Goku kept trying to learn, get better control, have a better understanding of, and master ui while vegeta tried it once then gave up on learning it.

While vegeta decided to be the one to train and get stronger. He decided to learn the mafuba instead of training to get stronger. He's asked master roshi to teach him more techniques. He also learns various attacks from Goku and Vegeta including Kamahameha. It is later recounted that he uses Instantaneous Movement (he doesn't have to hone in on energy to use it) but in fact he does when Goku and Vegeta raise their power levels to attract Buu. He's shown an interest in wanting to learn techniques. He learns Instant Transmission by watching Goku do it when he destroys the earth. Its teleportation using another person's ki. The first one however is instant transmission. If one is in the same power level or higher they can track others 'flash' attempt. Its a short burst of very high speed and the eyes can't track that. Goku should be allowed to keep some things to himself. So far, players have only seen instant Transmission used in cutscenes for Dragon Ball Z: Kakarot, such as when Goku uses it to teleport a self-destructing Cell away from Earth, but it is possible. The second one isnt really instant transmission. Trunks knows the mafuba technique and sb. Krillin even improved it and he's the only person who knows of that technique who did. Krillin, master roshi, yamcha, goten and gohan know the kamehameha.

Instant transmission dbz