Zoroastrianism and Vedic thought share many common roots and ideas, as they both originate from the ancient Indo-Iranian culture. This shared heritage can be seen in their religious beliefs, practices, and even in their language.

One of the key shared roots between Zoroastrianism and Vedic thought is the belief in a supreme deity. In Zoroastrianism, the supreme deity is known as Ahura Mazda, while in Vedic thought, it is known as Brahman. Both deities are seen as the ultimate source of all creation and are worshipped as the highest power in their respective religions.

Another shared root is the concept of duality, or the belief in opposing forces of good and evil. In Zoroastrianism, this is represented by the god of light, Ahura Mazda, and the god of darkness, Angra Mainyu. Similarly, in Vedic thought, there is a constant struggle between the forces of good, represented by the devas, and the forces of evil, represented by the asuras.

The concept of karma is also shared between Zoroastrianism and Vedic thought. Both religions believe in the idea of cause and effect, where one's actions in this life will determine their fate in the afterlife. This belief in karma is closely tied to the idea of reincarnation, where the soul is believed to be reborn multiple times until it reaches a state of enlightenment or liberation.

Additionally, both Zoroastrianism and Vedic thought place a strong emphasis on ritualistic practices and sacrifices. In Zoroastrianism, rituals such as the Yasna and the Vendidad are performed to honor and appease the gods. Similarly, in Vedic thought, rituals such as yajnas and homas are performed to please the gods and seek their blessings.

The influence of Zoroastrianism on Vedic thought can also be seen in their shared linguistic roots. Both religions use Sanskrit as their sacred language, which further emphasizes their common origins. Many words and concepts in Zoroastrianism, such as "deva" (god) and "yajna" (ritual sacrifice), have their roots in Sanskrit.

In conclusion, Zoroastrianism and Vedic thought have many shared roots and ideas, which can be attributed to their common Indo-Iranian heritage. Their belief in a supreme deity, duality, karma, and ritualistic practices, as well as their use of Sanskrit, are just some of the ways in which these two religions are connected. This shared influence has not only enriched both religions, but it also serves as a reminder of the deep cultural and religious connections between the Indo-Iranian people.