Let p(x) = 2 - 3x + x² and q(x) = 1 - 3x². compute 

(a) {p(x), q(x)} 

(b) ||p(x)||

(c) d(p(x), q(x))

{p(x), q(x)} is the inner product of Example 7.5 on the vector space P₂ [0, 1].