Answer
$$\langle -10,4\rangle$$
Work Step by Step
$$\vec{a}+\vec{v}=\vec{b}$$
Solve for $\vec{v}$
$$\vec{v}=\vec{b}-\vec{a}=\langle -4,3\rangle-\langle 6,-1\rangle$$
Subtract x and y components
$$\vec{v}=\langle -4-6,3-(-1)\rangle=\langle -10,4\rangle$$
