What is the shortest distance between the two skew lines $r_{1} = (\hat{i} + 2 \hat{j} + 3 \hat{k}) + λ (\hat{i} - 3 \hat{j} + 2 \hat{k})$ and $r_{2} = (4 \hat{i} + 5 \hat{j} + 6 \hat{k}) + μ (2 \hat{i} + 3 \hat{j} + \hat{k})$ ?

Practise more Three dimensional geometry.

Free questions with an explanation for every one, and full timed JEE Main mock tests.

All Three dimensional geometry questions Take a mock test

More Three dimensional geometry questions

What is the perpendicular distance of the point $P (1, 2, 3)$ from the plane $2 x - 3 y + 6 z + 7 = 0$ ?
If the direction cosines of a directed straight line are $l, m, n$ , which of the following identities is identically true?
What is the angle $θ$ between the straight line $\frac{x - 1}{2} = \frac{y + 2}{1} = \frac{z - 3}{2}$ and the plane…
Two lines $\frac{x - 1}{k} = \frac{y - 2}{2} = \frac{z - 3}{3}$ and $\frac{x - 2}{3} = \frac{y - 3}{k} = \frac{z - 1}{2}$ are perpendicular…
What is the equation of the plane passing through the point $(1, - 1, 2)$ and parallel to the plane $2 x - 3 y + 4 z = 6$ ?
The lines $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}$ and $\frac{x - 2}{3} = \frac{y - 3}{4} = \frac{z - 4}{5}$ are coplanar. What…