Orthogonality and normalization of quantum wavefunctions

[j-lee00]

Homework Statement

In attachment "question.jpeg"

i. I can do
ii. I need some help
iii. I need some help

The Attempt at a Solution

i. $$\int_{-1}^{1} \Psi_{1} \Psi_{2} dx = 0$$

ii. ?

iii. ?

 

[Rasalhague]

Try writing b explicitly in terms of one of the coefficients, c₁ or c₂, and a in terms of the other.