Consider Each of the Following Processes $d S=\frac{d Q}{T}$ (That $N$ Be Fixed and That the Process Not Involve Any Energy

Short Answer

Consider each of the following processes. Is the process consistent (C) or inconsistent (D) with the limitations on equation T8.12 $d S=\frac{d Q}{T}$ (that $N$ be fixed and that the process not involve any energy transfer that is neither heat nor work due to a quasistatic volume change)?
-Consider two $q$ -vectors $|u\rangle$ and $|w\rangle$ with possibly complex components. Their inner product $\langle u \mid w\rangle$ is a real number.