The "veil" is a symbol of the literal text of the Scriptures, behind which is hidden their Spirit, their true meaning and significance.
The "veil" is also a symbol of man's perception of the Word of Scripture only in the literal sense, preventing him from penetrating into the spiritually-shaped, true meaning and significance of the sayings of the Prophets and the teachings of Jesus Christ.
The "veil" of Jesus Christ is His spiritually-shaped "Flesh," that is, His teaching about the Will of God, which He commanded all His followers to be spiritually satiated with.