>>1471587The woman is "Android 18" (formerly Lazuli), though that is a misnomer, as she is a cyborg or augmented human, rather than a completely artificial lifeform.
The man is Prince Vegeta, who has gone into his Super Saiyan state (indicated by the yellow hair and golden aura).
The context is that 18 and two other androids want to find and kill Goku, an acquaintance of Vegeta, who is currently in hiding and unable to fight due to an illness. The androids' motivation is that their creator, Dr. Gero, somehow implanted into them the desire to kill Goku. Dr. Gero's motivation was a desire to take revenge on Goku for the destruction the organization that formerly employed Gero, the Red Ribbon Army.
Vegeta's motivation is that he wants to test the limits of his recently acquired Super Saiyan power and he somewhat underestimates the androids' strength, about which he had been warned by his time-traveling son, Trunks. Additionally, Vegeta can't allow the androids to kill Goku because he would much prefer to beat Goku by himself in a fair fight.