Exodus 20:7

My people of the house of Israel, Let no one of you swear by the name of the Word of the Lord your God in vain; for in the day of the great judgment the Lord will not hold guiltless any one who sweareth by His name in vain.

LO THISA’ (THOU SHALT NOT TAKE) THE NAME OF THE ETERNAL THY G-D IN VAIN. This verse has already been explained in the words of our Rabbis. He prohibits [here] swearing by the Glorious Name in vain, such as swearing that which is contrary to facts known to man, or swearing to [the truth of] a self-evident fact. For example: if one swears that a pillar of marble is of gold, or that it is of marble, and the pillar is right before them and they recognize it as such [that it is of marble].
By way of the plain meaning of Scripture, the verse also prohibits the taking of the Glorious Name in vain upon one’s lips [even without an oath], the usage of the term [lo thisa] being similar to these expressions: ‘Lo thisa’ (Thou shalt not utter) a false report; Nor ‘esa’ (do I take) their names upon my lips. Speaking is called thisa, [which literally means “lifting”], because the speaker thereby lifts up his voice. Similarly: ‘masa’ (The burden) of the word of the Eternal; also, In that day ‘yisa’ (shall he swear), saying: I will not be a healer, which means that he will lift up his voice to say so. And in truth, this — [i.e., just taking G-d’s Name in vain even without an oath] — is also forbidden, and in the language of the Sages, it is called “pronouncing the Name of Heaven to no purpose.” Thus our Rabbis have already said: 2. “Whence do we know that [in dedicating a beast for a sacrifice] a man should not say, ‘Unto the Eternal this is a whole-offering,’ or ‘Unto the Eternal this is a sin-offering,’ but instead he should say, ‘This is a whole-offering unto the Eternal,’ ‘This is a sin-offering unto the Eternal’? Scripture therefore says, an offering unto the Eternal. And must we not reason by using the method of kal vachomer?, Note 208. If the Torah said of him who is about to dedicate [something to Heaven], ‘Let My Name not rest on it until [he has first said] korban (sacrifice)’, is it not logical [that we must not pronounce the Name of Heaven to no purpose]!”
He has placed this commandment after the prohibition of idolatry, because just as it is proper to fear the Great and Fearful Name by not giving His Glory to another, so it is fitting to give glory to His Name. He who takes it in vain profanes it, similar to that which is written, And ye shall not swear by My Name falsely, so that thou profane not the Name of thy G-d. Just as He was stringent in the case of idolatry and wrote …

לא תשא, both this commandment, as well as the two following deal with the honour due to G’d. We know that the commandment to honour parents is also almost on the same par as honouring G’d, as in Proverbs 3,9 the verse to honour G’d is introduced with the same word כבד as is the Torah’s instructions to honour one’s parents.

לא תשא, invoking the name of G’d when swearing an oath. The word נשא is used in this sense in Kings I 8,31 ונשא בו אלה לאלותו, “when someone utters a curse against another in retaliation, using the curse to make his adversary swear an oath,”

לשוא, committing perjury thereby; without doubt this oath will backfire on the one uttering it; כי לא ינקה ה' את אשר ישא את שמו לשוא, for having used His holy name to utterly no purpose. Even if the person swearing such an oath had spoken the truth he will not be free from this sin, how much more so if someone used G’d’s name to swear falsely. It is not compatible with G’d’s honour and dignity that man use His Holy name for his own ends. The only time such an oath is permissible, or in some instances even mandatory, is when it is impossible to arrive at the truth by any other means there being no witnesses to the matter under dispute. As far as swearing a false oath, i.e. perjuring oneself is concerned, the Torah has a separate commandment in Leviticus 19,12 spelling this out. ולא תשבעו בשמי לשקר, “and you must not swear an oath in My name when that oath is a lie.”