shawl

Q: I want to know, if it is possible, if you can share any hadeeth that prove the wearing of a shawl and if possible Insha Allah what was the Sunnah way of wearing a shawl?

Q: I see many Qaris and imaams wearing a shawl over their shoulders and some use the Saudi scarf and put it over their shoulders. I wanted to ask if this is part of the Sunnah dressing of Muhammad صلى الله عليه وسلم and why do they wear this shawl / scarf?