The vector equation of a line passing through the point $(1, -1, 0)$ and parallel to Y-axis is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\vec{r} = \hat{i} - \hat{j} + \lambda\hat{j}$
We know that vector eq. of a line is
$\vec{r} = \vec{a} + \lambda\vec{b}$
Given $\vec{a} = (1, -1, 0)$
Passing through the point line is parallel to y-axis:
$\vec{b} = (0, 1, 0)$
$\vec{r} = \hat{i} - \hat{j} + \lambda\hat{j}$