Chapter 1: Vector Analysis Problem 1.1: Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross product are distributive, a) when the three vectors are co-planar. **b) in the general case. ** SolutionProblem 1.2 Is the cross product associative? **$$(\vec{A}\times \vec{B}) \times \vec{C} \overset{?}{=} \vec{A}\times (\vec{B} \times \vec{C})$$ ** If so, prove it; if not, provide a counterexample (the simpler the better). SolutionProblem 1.3 Find...
