Q4 of 136 Page 28

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

and

Equation of a line in vector form


Line I:



Line II:





Here,




Since lines are parallel therefore they have common normal





The shortest distance between lines is










Putting these values in the expression,





More from this chapter

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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

5

Find the equations of the lines joining the following pairs of vertices and then find the shortest distance between the lines

i. (0, 0, 0) and (1, 0, 2)


ii. (1, 3, 0) and (0, 3, 0)