Answer: The Quran commands the observance of hijab in several verses, explicitly instructing it in a few. One such verse is:
"O Prophet, tell your wives and your daughters and the women of the believers to bring down over themselves [part] of their outer garments. That is more suitable that they will be known and not be abused. And ever is Allah Forgiving and Merciful" (33:59).
This verse clearly states the obligation of hijab for women. It is one of the most comprehensive verses regarding the preservation of hijab and chastity, especially when considering the verse before and the verse after it, which provide severe warnings to those who violate chastity.
Additionally, other verses, such as verse 31 of Surah An-Noor, along with the sayings and practices of the Prophet and the Imams, confirm the obligation of hijab. For example, Imam Redha (AS) narrated:
"A woman does not need to cover her head in front of a boy until he reaches puberty" (i.e., a woman must observe hijab in front of a male who has reached puberty).
From such narrations, it is understood that hijab is a definitive requirement, and the Imam merely clarifies specific instances.
Regarding the part of your question suggesting that the Quran commands hijab only for believing women and not for everyone, you're correct that non-believers are not obligated to wear hijab.
However, when the Quran says "O you who have believed" or similar phrases, it is addressing all Muslims. The benefits of these commands, particularly the hijab, extend to all human beings. Hijab is about maintaining chastity and honoring all women, whether they are religious or not. It is an ethical value that helps protect society from unlawful sexual temptations.
Even though the Quranic addresses are specifically for believers, the benefits of these teachings are significant for everyone, including non-Muslims. Here are some examples to illustrate this:
"O you who have believed, do not consume one another’s wealth unjustly..." (4:29)
"O you who have believed, do not follow the footsteps of Satan..." (24:21).
"O you who have believed, do not consume usury..." (3:130).