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Math 2890 Sample Exam Problems

Orthogonal sets


Let $u_1=\left(\begin{array}{r} -3 \\ -5 \\ -5 \\ -3 \end{array}\right)$, $u_2=\left(\begin{array}{r} -1 \\ -5 \\ 5 \\ 1 \end{array}\right)$ and $u_3=\left(\begin{array}{r} -10 \\ 4 \\ 2 \\ 0 \end{array}\right).$

Is the set $\{u_1, u_2, u_3 \}$ orthogonal? Why or why not?


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