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

Question

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

Philoid · Accepted Answer

Equation of line in vector form

Line I:

Line II:

Here,

The shortest distance between lines is

Putting these values in the expression,

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