Solution:
Given the vector graph;
The vectors in component form are;
[tex]\begin{gathered} v=\langle0,-3\rangle \\ \\ u=\langle2,-1\rangle \\ \\ w=\langle2,4\rangle \end{gathered}[/tex]
Thus;
[tex]\begin{gathered} 2v=\langle0,-6\rangle \\ \\ u=\langle2,-1\rangle \\ \\ 3w=\langle6,12\rangle \end{gathered}[/tex]
Then;
[tex]2v+u-3w=\langle-4,-19\rangle[/tex]
Now, the graph that represents the resulting vector is GRAPH B
