The coordinates of the point $P$ on the line $\vec{r}=\left(\hat{i}+\hat{j}+\hat{k}\right)+\lambda \left(-\hat{i}+\hat{j}-\hat{k}\right)$ which is nearest to the origin is a. $\left(\frac{2}{4},\frac{4}{3},\frac{2}{3}\right)$ 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

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