JEE PYQ: Vector Algebra Question 39
Question 39 - 2019 (12 Apr Shift 2)
The length of the perpendicular drawn from the point $(2, 1, 4)$ to the plane containing the lines $\vec{r} = (\hat{i} + \hat{j}) + \lambda(\hat{i} + 2\hat{j} - \hat{k})$ and $\vec{r} = (\hat{i} + \hat{j}) + \mu(-\hat{i} + \hat{j} - 2\hat{k})$ is:
(1) $3$
(2) $\frac{1}{3}$
(3) $\sqrt{3}$
(4) $\frac{1}{\sqrt{3}}$