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Calculus
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$$\overrightarrow {\text{a}} ,\,\overrightarrow {\text{b}} ,\,\overrightarrow {\text{c}} $$   are three orthogonal vectors, Given that \[\overrightarrow {\rm{a}} = {\rm{\hat i}} + 2{\rm{\hat j}} + 5{\rm{\hat k}}\]    and \[\overrightarrow {\rm{b}} = {\rm{\hat i}} + 2{\rm{\hat j}} - {\rm{\hat k}}\]    , the vector $$\,\overrightarrow {\text{c}} $$ is parallel to

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Correct Answer: Option C
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