[See Steps] Show that the vectors (1/3,-2/3,-2/3) and (2/3,-1/3,2/3) are orthogonal and derive the general form of the vector that is orthogonal to
Question: Show that the vectors \(\left( \frac{1}{3},-\frac{2}{3},-\frac{2}{3} \right)\) and \(\left( \frac{2}{3},-\frac{1}{3},\frac{2}{3} \right)\) are orthogonal and derive the general form of the vector that is orthogonal to both.
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