It is written:
Deuteronomy 22:5 (KJV)
The woman shall not wear that which pertaineth unto a man, neither shall a man put on a woman's garment: for all that do so are abomination unto the Lord thy God.
Both of these articles of clothing pertain to a woman. Any man would be in violation of the above text if he were to wear either one.
It's common sense.