The Name of the Lord is salvation, so that Jesus can promise, "anything you ask in my Name, I will do it" (Jn 14:13-14).

The third commandment, "You shall not take the Name of the Lord God in vain," is most often applied to cursing or similar abuse of His name, but in the Scriptures “vanity” is consistently used to illustrate worthlessness, emptiness, or futility (see Ecclesiastes). Therefore, rather than something we necessarily do, it is more often something we don’t do.

When we neglect to call on the Name of the Lord when we need help (salvation), we have taken His name in vain. His name lies empty for us. We do not know it or experience it, and so we render it worthless in our lives. This is what it means to "take the Name of the Lord in vain."
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Scripture References for the Show
Luke 1:46-55, the words of the Magnificat
And Mary said:
“My soul magnifies the Lord,
47 and my spirit rejoices in God my Savior,
48 for he has regarded the low estate of his handmaiden.
For behold, henceforth all generations will call me blessed;
49 for he who is mighty has done great things for me,
and holy is his name.
50 And his mercy is on those who fear him
from generation to generation.
51 He has shown strength with his arm,
he has scattered the proud in the imagination of their hearts,
52 he has put down the mighty from their thrones,
and exalted those of low degree;
53 he has filled the hungry with good things,
and the rich he has sent empty away.
54 He has helped his servant Israel,
in remembrance of his mercy,
55 as he spoke to our fathers,
to Abraham and to his posterity for ever.”
Isaiah 7:14, 9:6, Wonderful Counselor, Almighty God, Everlasting Father, Prince of Peace

Proverbs 18:10, The Name of the Lord is strong tower.

Judges 13, Manoah and his wife see the angel of the Lord. “So Manoah arose and followed his wife. When he came to the Man, he said to Him, ‘Are You the Man who spoke to this woman?’ And He said, ‘I am’” (Judg. 13:11). "Why askest thou thus after my name, seeing is secret?" (13:18). "secret, too wonderful, mysterious"

Exodus 3:14-15, God reveals His Name to humanity.

Exodus 34:5, God reveals His "glory" to Moses in the cleft of the Rock, and His "glory" is His Name.

List of some of the "names" God's people gave Him throughout the scriptures:

 Jehovah-Nissi (Ex. 17:15)                              The-Lord-My-Banner (flag)
 Jehovah-Raah (Ps. 23:1)                                The-Lord-My-Shepherd
 Jehovah-Jireh (Gen. 22:14)                           The-Lord-Will-Provide
 Jehovah-Rapha (Ex.15: 26)                           The-Lord-That-Healeth
 Jehovah-Shalom (Judg. 6:24)                       The-Lord-Is-Peace
 Jehovah-Shamma (Ez. 48:35)                        The-Lord-Is-There
 Jehovah-Sabaoth (1 Sam. 1:3)                        The-Lord-Of-Hosts (armies)
 Jehovah-Tsidkenu (Jer. 23:6)                        The-Lord-Our-Righteousness
 Jehovah-Oz (Is. 12:2)                                       The-Lord-My-Strength
 YAH (Ps. 68:4; poetic form of Yahweh)       The-Lord-Is-A-Poet
 Jehovah-Mekoddishkem (Lev. 20:8)            The-Lord-Who-Sanctifies-You
 Qanna (Ex. 34:14)                                             Jealous
 Jehovah-Baal (Is. 54:5)                                   The-Lord-Your-Husband
 Jehovah-Derek (Judg. 18:6)                          The-Lord-Your-Way
Jehovah-Zimrath (Ex. 15:2)                            The-Lord-My-Song
Jehovah-Nasa (Ps. 99:8)                                 The-Lord-Who-Forgives
El Roi (Gen. 16:13)                                           ...