Shortest Distance between Two Lines
Shortest Distance between Two Lines: Overview
This topic covers concepts, such as, Shortest Distance between Two Skew Lines in Vector Form, Distance between Two Parallel Lines in 3D & Shortest Distance between Two Skew Lines etc.
Important Questions on Shortest Distance between Two Lines
Find the distance of the point , from the point of intersection of the line and the plane .

The shortest distance between the lines :
is

The shortest distance between the following lines is
;

The distance of the point (–2, 3, –4) from the line measured parallel to the plane would be :

The shortest distance between the following two lines:

What would be the shortest distance between the lines and whose vector equations are and ?

What would be the shortest distance between the lines and whose vector equations are and ?

Find the shortest distance between the lines and .
If the lines intersect find their point of intersection.

The shortest distances between the diagonals of a rectangular parallelepiped whose sides are and the edges not meeting it are .

Shortest distance between the following pair of lines and is

The following pairs of lines and are intersecting lines.

If the shortest distance between the lines and is , then the value of is

If the shortest distance between the lines
and is , then

Find the shortest distance between the pair of lines:

Find the shortest distance between the pair of lines:
and

By computing the shortest distance determine whether the following lines intersect or not: and .

By computing the shortest distance determine whether the following pairs of lines intersect or not: and .

By computing the shortest distance, determine whether the lines and intersect or not.

If the lines and intersect, then find the value of .

If the shortest distance between the lines and is of the form of , then
