please answer quickly i am just trying to confirm my answer

Given:
[tex]v=<12,-9>\text{ and }w=<21,1>[/tex]Required:
We need to find v+w.
Explanation:
Add the corresponding terms of the vectors to add vectors v and w.
[tex]v+w=<12,-9>+<21,1>[/tex][tex]v+w=<12+21,-9+1>[/tex][tex]v+w=<33,-8>[/tex]Final answer:
[tex]v+w=<33,-8>[/tex]