What is $(2\hat{i} - \hat{j} + 3\hat{k}) \cdot (\hat{i} + 4\hat{j} - 2\hat{k})$?

Explanation

1. 01

   Multiply matching components and add.

2. 02

   $2(1) + (-1)(4) + 3(-2) = 2 - 4 - 6 = -8$.