Yahweh preparing to punish wicked people is spoken of as if his hand were raised and about to hit the wicked people. (See: [[rc://en/ta/man/translate/figs-metaphor]])
Here "see" represents realizing something. Alternate translation: "they will realize that you are eager to bless your people" (See: [[rc://en/ta/man/translate/figs-metonymy]])
Yahweh punishing and completely destroying his adversaries is spoken of as if he would send a fire that will completely burn them up. (See: [[rc://en/ta/man/translate/figs-metaphor]])
Here "of" does not mean the fire belongs to the adversaries but that the fire is intended to be used against the adversaries. Alternate translation: "your fire will completely burn them up"