Answer
$$\langle3,-5\rangle$$
Work Step by Step
To scale a vector in component form, multiply each component by the scale factor.
$$-\vec{u}=-\langle -5,3\rangle=\langle (-1)\times (-5),(-1)\times 3\rangle=\langle5,-3\rangle$$
$$-\vec{w}=-\langle 2,2\rangle=\langle (-1)\times 2,(-1)\times 2\rangle=\langle-2,-2\rangle$$
To add vectors in component form, add x and y components separately.
$$-\vec{u}-\vec{w}=\langle 5,-3\rangle+\langle -2,-2\rangle=\langle 5-2,-3-2\rangle=\langle3,-5\rangle$$
