Let ` veca, vecb , vecc` be three vectors of equal magnitude such that the angle between each pair is ` pi/3` . If ` |veca + vecb + vec| = sqrt6 , " then " |veca|=`A. 2B. `-1`C. 1D. `sqrt6//3`

Let ` veca, vecb , vecc` be three vectors of equal magnitude such that

1.	Let ` veca, vecb , vecc` be three vectors of equal magnitude such that the angle between each pair is ` pi/3` . If ` \|veca + vecb + vec\| = sqrt6 , " then " \|veca\|=`A. 2B. `-1`C. 1D. `sqrt6//3`
Answer» Correct Answer - c `\|veca+ vecb +vecc\|^(2)=6` `or \|veca\|^(2)+ \|vecb\|^(2)+\|vecc\|^(2)` `Rightarrow \|veca\|=\|vecb\|=\|vecc\|and veca.vecb` ` = \|veca\|vecb\|.cos(pi/3)` `i.e. veca.vecb= 1/2 \|veca\|^(2)` ` 3 \|veca\|^(2)+3\|veca\|^(2)=6` `Rightarrow \|veca\|^(2)or \|veca\|=1`

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