Home
Class 12
MATHS
Find the distance between the lines vec(...

Find the distance between the lines `vec(l_(1))andvec(l_(2))` given by
`vec(l_(1))=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk)andvec(l_(2))=3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk)`.

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(293))/(7)`
Promotional Banner

Topper's Solved these Questions

  • II PUC MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - D|10 Videos
  • II PUC MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - E|2 Videos
  • II PUC MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - B |14 Videos
  • II PUC MARCH - 2017

    OSWAAL PUBLICATION|Exercise PART - E|3 Videos
  • II PUC TOPPER ANSWERS MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - E|2 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the lines vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(2hati+3hattj+6hatk) .

Find the shortest distance betweeen the line l_(1) and l_(2) whose vector equations are vecr=hati+hatj+lamda(2hati-hatj+hatk) and vecr=2hati+hatj+lamda(3hati-5hatj+2hatk)

Find the angle between the pair of lines given by vecr = 2hati - 5hatj + hatk + lambda (3hati +2hatj+6hatk) and vecr =7hati - 6hatk + mu(hati +2hatj + 2hatk)

Find the angle between the pair of lines given by vecr=2hati-5hatj+hatk+lambda(3hati+2hatj+6hatk), vecr=7hati-6hatk+mu(hati+2hatj+2hatk)

Find the shortest distance betweenn the lines. vecr=hati+hatj+lamda(2hati-hatj+hatk) vecr=2hati+hatj-hatk+mu(3hati-5hatj+2hatk) .

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk .

The distance between the line : vecr.=2hati-2hatj+3hatk+lambda(hati-hatj-4hatk) and the plane vecr.(hati+5hatj+hatk)=5 is :

If the vectors 6hati-2hatj+3hatk, 2hati+3hatj-6hatk and 3hati+6hatj-2hatk form a triangle, then it is