\(\vec{\text{p}}=2\vec{\text{i}}−3\vec{\text{j}}+\vec{\text{k}},\vec{\text{q}}=\vec{\text{i}}+\vec{\text{j}}−\vec{\text{k}}\). If the vectors \(\vec{\text{a}}\) and \(\vec{\text{b}}\) are the orthogonal projections of \(\vec{\text{p}}\) on \(\vec{\text{q}}\) and \(\vec{\text{q}}\) on \(\vec{\text{p}}\) respectively, then \(\frac{\vec{\text{a}} \times \vec{\text{b}}}{\vec{\text{a}} \cdot \vec{\text{b}}}\) =

1
\(\frac{2\vec{\text{i}}+3\vec{\text{j}}+5\vec{\text{k}}}{19\sqrt{2}}\)
2
\(\frac{2 \vec{\text{i}}+3\vec{\text{j}}+5\vec{\text{k}}}{\sqrt{38}}\)
3
\(\frac{2\vec{\text{i}}+3\vec{\text{j}}+5\vec{\text{k}}}{2}\)
4
\(\frac{3\vec{\text{i}}-2\vec{\text{j}}}{13}\)

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