The position vectors of A and B are \((\widehat i + \widehat j + \widehat k)\) and \(\left( {\frac{1}{3}\widehat j + \frac{1}{3}\widehat k}\right)\) . If 'B' divides the line AC in the ratio 2 ∶ 1 then the position vector of 'C' is
1
\(\left( {\frac{1}{2},0,0} \right)\)
2
\(\left( { 0,\frac{1}{3},0} \right)\)
3
\(\left( {\frac{{ - 1}}{2},\frac{{ - 1}}{2},0} \right)\)
4
More than one of the above
5
None of the above