1.

The coordinates of the point p on the line\[\vec{r}=(\hat{i}+\hat{j}+\hat{k})+\lambda (-\hat{i}+\hat{j}-\hat{k})\] which is nearest to the origin is

A. \[\left( \frac{2}{3},\frac{4}{3},\frac{2}{3} \right)\]
B. \[\left( -\frac{2}{3},-\frac{4}{3},\frac{2}{3} \right)\]
C. \[\left( \frac{2}{3},\frac{4}{3},-\frac{2}{3} \right)\]          
D. None of these
Answer» B. \[\left( -\frac{2}{3},-\frac{4}{3},\frac{2}{3} \right)\]


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