Literary analysis: Isaiah uses a literary play on words here to tie this portion of the prophecy to the beginning. In verse one Isaiah is told to write with a "man's hand." In this verse, it is the Lord who is speaking "with a strong hand." The reference in both cases is to the power of the Lord's message.
Scriptural analysis: Isaiah, in verses 9 and 10 has condemned the current thinking, the current path, of Judah. In verse 11 he notes that he is explicitly required of the Lord to walk a different path.