Answer
$$\langle 4,2\rangle$$
Work Step by Step
$$\vec{v}-\vec{b}=\vec{a}+\vec{c}$$
Solve for $\vec{v}$
$$\vec{v}=\vec{a}+\vec{b}+\vec{c}=\langle 6,-1\rangle+\langle -4,3\rangle+\langle 2,0\rangle$$
To add vectors in component form, add x and y components separately.
$$=\langle 6-4+2,-1+3+0\rangle=\langle 4,2\rangle$$
