Chapter 6.2, Problem 8E

In Exercises 7–10, show that {u₁, u₂} or {u₁, u₂, u₃} is an orthogonal basis for ℝ² or ℝ³, respectively Then express x as a linear combination of the u’s.

8. u₁ = $\left[\begin{array}{c}3\\ 1\end{array}\right]$, u₂ = $\left[\begin{array}{c}-2\\ 6\end{array}\right]$, and x = $\left[\begin{array}{c}-6\\ 3\end{array}\right]$