Precalculus VECTORS. Please help me and also explain how to solve . Thank you

You have two vectors: [tex]\vec{a}=(2,-1)[/tex] and [tex]\vec{b}=(3,3).[/tex]
In order to find the sum [tex]\vec{a}+\vec{b}[/tex] of vectors [tex]\vec{a}[/tex] and [tex]\vec{b}[/tex], you should add corresponding coordinates:
[tex]\vec{a}+\vec{b}=(2,-1)+(3,3)=(2+3,-1+3)=(5,2).[/tex]
Answer: correct choice is C.