Chapter 11, Problem 4P

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.