That they may know that this is thy hand - Let thy help be so manifest in my behalf, that they may see it is thy hand, and that thou hast undertaken for me. Or, if the words refer to the passion of our Lord, Let them see that I suffer not on my own account; "for the transgression of my people am I smitten."
That they may know that this is thy hand - That this has been done by thee; that it has all occurred under thy direction, or has been ordered by thee. The reference seems to be particularly to God‘s interposition: “Let it be manifest to all that thou hast interposed in my behalf; that thou hast undertaken for me; that thou art my Friend.” He desired an interposition from God that he might be vindicated before all his enemies.
That thou, Lord, hast done it - Let it be such an interposition that it will be manifest to all that no other one but God could have done this.