Chapter 7 - Applications of Trigonometry and Vectors - Section 7.4 Vectors, Operations, and the Dot Product - 7.4 Exercises - Page 331: 85

$-24$

Step 1: $\textbf {u}\cdot\textbf {v}-\textbf {u}\cdot\textbf {w}$ Step 2: $\langle -2,1 \rangle\cdot\langle 3,4 \rangle-\langle -2,1 \rangle\cdot\langle -5,12 \rangle$ Step 3: $[-2(3)+1(4)]-[-2(-5)+1(12)]$ Step 4: $[-6+4]-[10+12]$ Step 5: $[-2]-[22]$ Step 6: $-24$