The Sages have said:

In the Code of Jewish Law1 it is written that a Torah scroll should be held in one's right arm (and rested on the right shoulder). This applies even if the one holding the Torah is left-handed. There are two verses that allude to this idea:1) "From His right hand was a fiery Law for them" -- Deuteronomy 33:2. The Torah was given from G‑d's right hand, as it were, and we therefore hold it in our right hand, too.2) "And His right hand will embrace me" -- Song of Songs 2:6. G‑d embraces us with His right hand, and we, in turn, embrace His holy Torah with our right hand.

Rabbi Yisroel Cotlar

The Sages have said:

The rabbis have taught, the Holy One, blessed by He, will say to Messiah ben David, may he be revealed soon in our days. 'Ask of Me anything and I shall give it to you.' For it is written, Adonai said to me, 'Thou art my son, this day have I begotten thee. Ask of Me and I will give thee the nations for thine inheritance (Psalm 2:7-8).' And when he will see that Messiah ben Joseph will be slain, he will say before Him, 'Master of the World! I ask nothing of you except life.' G~d will say to him, 'Even before you said, "life," your father David prophesied about you, as it is written, 'He asked life of thee, Thou gavest it to him. (Psalm 21:5)'

Babylonian Talmud

[Babylonian Talmud, Sukkah 52a]