1. The problem statement, all variables and given/known data 1. Given that |ψ> = eiπ/5|a> + eiπ/4|b>, express <ψ| as a linear combination of <a| and <b|. 2. What properties characterise the bra <a| that is associated with the ket |a>? 2. Relevant equations 3. The attempt at a solution 1. <ψ| = e-iπ/5<a| + e-iπ/4<b| 2. a. The bra <a| when applied on the ket |a> will give 1. b. The bra <a| is a linear function, which applied on the other elements of the vector space of |a> will give a complex scalar. Comments are welcome.