I am working on Exercise 6.3.N. on Ravi Vakil's notes (on morphism from $S$ scheme to $\mathbb{P}_B^n$) and I would like some assistance. The exercise states: Let $B$ be a ring. If $X$ is a $B$-scheme, and $f_0, ..., f_n$ are $n+1$ functions on $X$ with no common zeros, then show that $[f_0, ..., f_n]$ gives a morphism of $B$-schemes $X \rightarrow \mathbb{P}_B^n$.
I would appreciate any hint, comments, etc. Thank you very much!
Edit (Not by OP) (10/06/2021). In the 2017 version of the notes, this is exercise 6.3.M.