Answer
$\langle -24,-5 \rangle$
Work Step by Step
Step 1: $2\textbf {u}+\textbf {v}-6\textbf {v}$
Step 2: $2\cdot\langle -2,5 \rangle+\langle 4,3 \rangle-6\cdot\langle 4,3 \rangle$
Step 3: $\langle -4,10 \rangle+\langle 4,3 \rangle-\langle 24,18\rangle$
Step 4: $\langle -4+4-24,10+3-18 \rangle$
Step 5: $\langle -24,-5 \rangle$