Chapter 3, Problem 18P

To determine

To define:

The three vectors $\text{u}=5\text{i}-2\text{j}+4\text{k}$, $\text{v}=-2\text{i}+7\text{j}+3\text{k}$, $\text{w}=8\text{i}+1\text{j}-3\text{k}$ and verify the identity $\left(\text{u}+\text{v}\right)\cdot \left[\left(\text{v}+\text{w}\right)\times \left(\text{w}+\text{u}\right)\right]=2\text{u}\cdot \left(\text{v}\times \text{w}\right)$ using these vectors, and calculate the value of the given identity using inbuilt MATLAB functions $\text{cross}$ and $\text{dot}$.