Answer:
[tex]\langle4,-1\rangle[/tex]
Step-by-step explanation:
To subtract two vectors, subtract the horizontal components with each other and the vertical components with each other:
[tex]w=\langle5,3\rangle[/tex]
[tex]z=\langle1,4\rangle[/tex]
[tex]w-z=\langle5,3\rangle-\langle1,4\rangle=\langle5-1,3-4\rangle=\langle4,-1\rangle[/tex]
Therefore, the resulting vector is [tex]\langle4,-1\rangle[/tex]