If vectors $\overrightarrow {{a_1}} = x\widehat i - \widehat j + \widehat k$ and $\overrightarrow {{a_2}} = \widehat i + y\widehat j + z\widehat k$ are collinear, then a possible unit vector parallel to the vector $x\widehat i + y\widehat j + z\widehat k$ is :

Question

${1 \over {\sqrt 3 }}\left( {\widehat i - \widehat j + \widehat k} \right)$

${1 \over {\sqrt 2 }}\left( { - \widehat j + \widehat k} \right)$

${1 \over {\sqrt 2 }}\left( {\widehat i - \widehat j} \right)$

${1 \over {\sqrt 3 }}\left( {\widehat i + \widehat j - \widehat k} \right)$

Solution

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