Exercise 4.4.17

$p=\left(a^{T}b∕a^{T}a\right)a=(3,3,3)$ and $e=(-2,0,2)$. Then Gram-Schmidt will choose $q_1=(1,1,1)∕\sqrt{3}$ and $q_2=(-1,0,1)∕\sqrt{2}$.