Halliday, Resnick & Walker — Vectors: Problem 67

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) \(\hat{i} \cdot \hat{k}\), (b) \((-\hat{k}) \cdot (-\hat{j})\), and (c) \(\hat{j} \cdot (-\hat{j})\)? What are the directions (such as east or down) of products (d) \(\hat{k} \times \hat{j}\), (e) \((-\hat{i}) \times (-\hat{j})\), and (f) \((-\hat{k}) \times (-\hat{j})\)?