$.$When representing documents $($and queries$)$ as vectors, what is the tf$-$idf vector vd for document d and the tf$-$idf vector vq for query q given the information below?

$$

$1.$ Document d:$$ rapid phone mobile phone

Query q:$$ inexpensive mobile phone

N$=1000000$ documents

df$($rapid$)=5000$

df$($mobile$)=15000$

df$($phone$)=2000$

df$($inexpensive$)=30000$