Final answer:
The synonym for 'hector' is 'badger', which means to persistently annoy or harass someone. Thus (option 2) is right answer.
Step-by-step explanation:
The synonym of the verb 'hector' is badger. This terms indicates persistently annoying or harassing someone. Thus (option 2) is right answer.
While 'browbeat' could also be considered a synonym due to its connotation of intimidating someone through power or influence, the word 'spam' does not align as a synonym because it specifically refers to irrelevant or unsolicited messages sent over the internet, typically to a large number of users.