Which point lies on the line $\vec{r} = (\hat{i} - \hat{j} + 2\hat{k}) + \lambda(2\hat{i} + \hat{j} - \hat{k})$?

Explanation

1. 01

   A point on the line is $(1 + 2\lambda, -1 + \lambda, 2 - \lambda)$.

2. 02

   $\lambda = 2$ gives $(5, 1, 0)$; each other option fails one coordinate.