Some trust in chariots - This (see the introduction to the psalm) seems to be a “general chorus” of the king and the people, expressing the fullest confidence in God, and showing the true ground of their reliance. The general meaning is, that their entire trust was in God. This is put in strong contrast with others, who relied, some on their chariots, and some on their horses, while “they” relied alone on God. They who trusted in horses and in chariots would be overcome; they who trusted in God alone would triumph. The word rendered chariots - רכב rekeb - means properly riding, and then a vehicle for “riding,” a wagon, a chariot. Here it refers to the war-chariot, or the vehicle for carrying armed men into battle. These furnished great advantages in war, by the speed with which they could be driven against an enemy, and by the facilities in fighting from them. They were usually very simple. They consisted of “a light pole suspended between and on the withers of a pair of horses, the after end resting on a light axle tree, with two low wheels. Upon the axle stood a light frame, open behind, and floored for the warrior and his charioteer, who both stood within. On the sides of the frame hung the war-bow, in its case; a large quiver with arrows and darts had commonly a particular sheath. In Persia, the chariots, elevated upon wheels of considerable diameter, had four horses abreast; and in early ages, there were occasionally hooks or scythes attached to the axles.” - Kitto, “Cyclo.” In early ages these constituted a main reliance in determining the result of a battle.
And some in horses - Some in cavalry, commonly a very material reliance in war. The use of horses in war was early known in the world, for we find mention of them in the earliest periods of history.
But we will remember the name of the Lord our God - That is, we will remember God - the name, as before remarked, often being used to denote the person. The meaning is, We will not forget that our reliance is not on armies, but on God, the living God. Whatever instrumentality we may employ, we will remember always that our hope is in God, and that he only can give success to our arms.