Q3 of 136 Page 28

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

and

Given data:


Pair of lines:



To find the shortest distance between these two lines


Solution: We need to write this in vector form


Line I:




Line II:




Here





The shortest distance between two skew lines is













Putting these values in the expression,




Shortest distance d between the lines is not 0. So lines are not intersecting.


More from this chapter

All 136 →
3

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

and

3

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

and

3

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

and

4

Find the shortest distance between the following pairs of parallel lines whose equations are :

and