Chapter 3, Problem 67P

Let $\hat{i}$ be directed to the east, $\hat{j}$ be directed to the north, and $\hat{k}$ be directed upward. What are the values of products (a) $\hat{i}$ · $\hat{k}$, (b) (− $\hat{k}$) · (− $\hat{j}$), and (c) $\hat{j}$ · (− $\hat{j}$)? What are the directions (such as east or down) of products (d) $\hat{k}$ × $\hat{j}$, (e) (− $\hat{i}$) × (− $\hat{j}$), and (f) (− $\hat{k}$) × (− $\hat{j}$)?