Problem 43
Show, using the definition of the Cross Product, that \(\vec{u} \cdot(\vec{u} \times\) \(\vec{v})=0 ;\) that is, that \(\vec{u}\) is orthogonal to the cross product of \(\vec{u}\) and \(\vec{v} .\)
Problem 44
Show, using the definition of the Cross Product, that \(\vec{u} \times \vec{u}=\) \(\overrightarrow{0}\)
