Question

Suppose we have a state |ψ⟩ that is a linear combination of two other states |ψ⟩=a|1⟩+b|2⟩, where a and b are non-zero, but otherwise unspecified, and |1⟩ and |2⟩ are orthonormal (⟨1|2⟩=⟨2|1⟩=0, ⟨1|1⟩=⟨2|2⟩=1). What is ⟨1|ψ⟩?
b2
b
a
a∗