When the wire of a guitar is plucked

When the wire of a guitar is plucked, what types of wave are produced in (i) air and (ii) wire? Give reasons in support of your answer.

(i) When the wire of a guitar is plucked, a longitudinal wave is produced in air due to the to and fro motion of string of guitar.
(ii) In the wire of guitar, transverse wave is produced as the particle vibrates perpendicular to the direction of motion.

I think in wire longitudinal wave is occur as it vibrate to its mean position.