What is $(3\hat{i} - 2\hat{j} + \hat{k}) \cdot (\hat{i} + 4\hat{j} - 5\hat{k})$?

Explanation

1. 01

   Multiply matching components and add: $3(1) + (-2)(4) + 1(-5)$.

2. 02

   $3 - 8 - 5 = -10$.