Chapter 1 - Vectors - 1.2 Length and Angle: The Dot Product - Exercises 1.2 - Page 290: 4

$2.62.$

For the matrices $u=\begin{bmatrix} u_{1} \\ u_{2} \\ \vdots\\ u_{n} \end{bmatrix}$ and $v=\begin{bmatrix} v_{1} \\ v_{2} \\ \vdots\\ v_{n} \end{bmatrix}$ The dot product is: $u\cdot v=u_1\cdot v_1+u_2\cdot v_2+...+u_n\cdot v_n.$ Hence: $u\cdot v=3.2\cdot 1.5+(-0.6)\cdot 4.1+(-1.4)\cdot (-0.2)=4.8+(-2.46)+0.28=2.62.$