Consider a Two-Component Complex Vector $$|\psi\rangle=\left[\begin{array}{c}A \\I b\end{array}\right]$$ Where $a$ And $b$ Are Real Numbers

Multiple Choice

Consider a two-component complex vector
$$|\psi\rangle=\left[\begin{array}{c}A \\I b\end{array}\right]$$
Where $a$ and $b$ are real numbers. Which of the following vectors are orthogonal to this vector?

A) $\left[\begin{array}{c}a \\ i b\end{array}\right]$
B) $\left[\begin{array}{c}i a \\ b\end{array}\right]$
C) $\left[\begin{array}{c}i b \\ a\end{array}\right]$
D) $\left[\begin{array}{c}b \\ -i a\end{array}\right]$
E) $\left[\begin{array}{c}i b \\ -a\end{array}\right]$
F) C and D
G) None of the above.