Chapter 11 - Vectors and Vector-Valued Functions - 11.1 Vectors in the Plane - 11.1 Exercises - Page 768: 32

$10\textbf{u} - 3\textbf{v} + \textbf{w}= \langle 52,-30 \rangle$

$10\textbf{u} - 3\textbf{v} + \textbf{w} = 10\langle4,-2\rangle - 3\langle -4,6\rangle + \langle0,8\rangle = \langle 40,-20 \rangle + \langle 12,-18 \rangle + \langle 0,8\rangle = \langle 40+12+0, -20-18+8 \rangle= \langle 52,-30 \rangle$