Chapter 11 - Vectors and Vector-Valued Functions - 11.3 Dot Products - 11.3 Exercises - Page 788: 3

$$ - 40$$

$$\eqalign{ & \left\langle {2,3, - 6} \right\rangle \cdot \left\langle {1, - 8,3} \right\rangle \cr & {\text{Computing the dot product}} \cr & \left\langle {2,3, - 6} \right\rangle \cdot \left\langle {1, - 8,3} \right\rangle = \left( 2 \right)\left( 1 \right) + \left( 3 \right)\left( { - 8} \right) + \left( { - 6} \right)\left( 3 \right) \cr & \left\langle {2,3, - 6} \right\rangle \cdot \left\langle {1, - 8,3} \right\rangle = 2 - 24 - 18 \cr & \left\langle {2,3, - 6} \right\rangle \cdot \left\langle {1, - 8,3} \right\rangle = - 40 \cr} $$