Serway & Jewett — Angular Momentum: Problem 4

Use the definition of the vector product and the definitions of the unit vectors \(\hat{i}\), \(\hat{j}\), and \(\hat{k}\) to prove Equations 11.7. You may assume the \(x\) axis points to the right, the \(y\) axis up, and the \(z\) axis horizontally toward you (not away from you). This choice is said to make the coordinate system a right-handed system.