Chapter 10.3, Problem 35E

To determine

(a)

To find:

The inner product satisfy the property $\langle f+g,h\rangle =\langle f,h\rangle +\langle g,h\rangle$.

To determine

(b)

To find:

The inner product satisfy the property $\langle cf,h\rangle =c\langle f,h\rangle ,$ where $c$ is any real number.

To determine

(c)

To find:

The inner product satisfy the property $\langle g,f\rangle =\langle f,g\rangle$.