This question examines the correct usage of 'vicinity', which refers to the area near or surrounding a particular place. Option A incorrectly uses 'vicinity' to describe an argument, which is not a physical location. Option C misapplies 'vicinity' to describe someone's ability to solve a puzzle, which is unrelated to the concept of area or proximity. Option D inaccurately attributes the cause of damage to 'vicinity', which cannot cause anything as it is a noun describing location. Option B correctly uses 'vicinity' to indicate a meeting place near the library, making it the correct answer.