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$\overrightarrow{a}$,$\overrightarrow{b}$,$\overrightarrow{c}$ are three orthogonal vectors. Given that $\overrightarrow{a}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ + 5${\widehat{k}}$ and $\overrightarrow{b}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ – ${\widehat{k}}$, the vector $\overrightarrow{c}$ is parallel to

  1. $\widehat{i}+2\widehat{j}+3\widehat{k}$
  2. $2\widehat{i} + \widehat{j}$
  3. $2\widehat{i} – \widehat{j}$
  4. $4\widehat{k}$
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