Yes, hugging your brother-in-law is permissible in Islam, as he falls under the category of "Mahram."
Here's a breakdown:
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Mahram Definition: In Islamic terminology, a "Mahram" is a person with whom marriage is permanently forbidden. This typically includes close family members by blood, marriage, or fosterage.
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Brother-in-law as Mahram: Your brother-in-law (your spouse's brother) generally falls into the Mahram category because marriage between you and him would be permanently prohibited.
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Physical Contact: Physical contact, including hugs, is generally permissible between Mahram relatives. This allowance stems from the established familial bond and the prohibition of marriage.
In conclusion, hugging your brother-in-law is generally considered permissible within Islamic guidelines, given his status as a Mahram relative.