What vector must be added to the two vecto

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What vector must be added to the two vectors $\hat i - 2\hat j + 2\hat k$ and $2\hat i + \hat j - \hat k,$ so that the resultant may be a unit vector along $X-$axis

A

$2\hat i + \hat j - \hat k$

B

$ - 2\hat i + \hat j - \hat k$

C

$2\hat i - \hat j + \hat k$

D

$ - 2\hat i - \hat j - \hat k$

What vector must be added to the two vectors $\hat i - 2\hat j + 2\hat k$ and $2\hat i + \hat j - \hat k,$ so that the resultant may be a unit vector along $X-$axis

$(\hat i - 2\hat j + 2\hat k) + (2\hat i + \hat j - \hat k) + \vec R = i$

Required vector $\vec R$ = $ - 2\hat i + \hat j - \hat k$