Q. 11

Show that the lines and intersect.Also, find their point of intersection.

Given equations :

To Find : d

Formula :

1. Cross Product :

If are two vectors

then,

2. Dot Product :

If are two vectors

then,

3. Shortest distance between two lines :

The shortest distance between the skew lines and

is given by,

For given lines,

Here,

Therefore,

Now,

= 0 + 12 – 6

= 6

Therefore, the shortest distance between the given lines is

As d ≠ 0

Hence, the given lines do not intersect.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Revision of straight lines important formulas in one shot59 mins
Concept Builder Questions of straight Lines (Quiz Session)55 mins
Magnetic field due to current carrying straight wire37 mins
Translation Process37 mins
Interactive Quiz on Bacterial Diseases29 mins
Immune System Disorders60 mins
Interactive Quiz on Cancer36 mins
Interactive Quiz on Magnetic field due to straight wire & circular loop41 mins
Interactive Quiz on Connective & Epithelial Tissue45 mins
Human health & diseases (Drug)56 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses