DBZ Kai - Goku's 4x Kaioken Kamehameha vs Vegeta's Galick Gun

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Goku's Kaioken Attack seems to make Vegeta out matched, but on the other hand it does quite a number on Goku's body. Vegeta realizes he's backed into a corner, not to mention by a low class warrior, so he decides to kill Goku destroying the entire planet with him using a deadly Galick Gun beam. Goku at last manages to counter Vegeta's attack with a 4x Kaioken Kamehameha, but Vegeta won't