Use the orthonormality of $u,v,w$ to write the following vectors as linear combinations of $u,v$ and $w$

Question

Let $V$ be the vector space $\mathbb R^3$ with inner product $$(v,w)=3(v_1w_1)-2(v_1w_2)-2(v_2w_1)+5(v_2w_2)-3(v_2w_3)-3(v_3w_2)+3(v_3w_3)$$

where $v=(v_1,v_2,v_3)$ and $w=(w_1,w_2,w_3)$.

Part 1

Prove that the vectors $u=(1,1,1)$, $v=(0,1/2,(\sqrt{6}-2/2\sqrt{6})$, $w=(0,1/2,3+\sqrt{6}/6)$ are orthonormal in $V$.

Part 2

Use the orthonormality of $u,v,w$ to write the following vectors as linear combinations of $u,v$, and $w$: $$(1,2,3),\ (1,0,0), \ (0,1,0), (0,0,1)$$

I understand part 1 but how do I do part 2?