Chapter 7: Problem 9
If \(A_{1}, A_{2}\), and \(A_{3}\) are three arbitrary vectors that are not coplanar, show that any arbitrary dyadic T can always be expressed as the sum of three dyads $$ T=A_{1} B_{1}+A_{2} B_{2}+A_{2} B_{2} $$ by suitably choosing the three vectors \(\mathbf{B}_{1}, \mathbf{B}_{2}\), and \(\mathbf{B}_{2}\).