1. A desire to offend and implies a grudge, a desire to offend or to hurt the feelings of someone by actions or words.
2. Feeling a need to see others suffer or wishing evil on others.
3. Malevolence by virtue of being nasty or having the intention to cause harm.
4. Etymology: a shortened form of despit, "malice" from Old French despit (12th century, Modern French dépit, from Latin despectus, "a looking down on, scorn, contempt"; from Latin despicere, "to look down on, to scorn"; from de-, "down" + spicere or specere, "to look at".

To deliberately annoy, upset, or to hurt someone: "The daughter dropped the plates on the floor while she was washing the dishes to spite her mother for not letting the girl go to the dance."