Home
Class 12
MATHS
Find the angle between the following pai...

Find the angle between the following pairs of lines :
`vec(r)=3hat(i)+2hat(j)-4hat(k)+lambda(hat(i)+2hat(j)+2hat(k)) " & " vec(r)=5hat(i)-2hat(j)+mu(3hat(i)+2hat(j)+6hat(k))`
Note : Angle between two lines is the angle between `vec(b_(1)) " and " vec(b_(2))`

Text Solution

Verified by Experts

The correct Answer is:
`rArr theta = cos^(-1)""(19)/(21)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic -2 (Short answer type questions-II)|23 Videos
  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic -2 (Long answer type questions-II)|7 Videos
  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic -1 (Short answer answer type questions -I)|2 Videos
  • SOLVED PAPER ( Topper Answers March - 2015 )

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos
  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 4 (Short Answer Type Questions - II|7 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the following pairs of lines : r=3hat(i)+hat(j)-2hat(k)+lambda(hat(i)-hat(j)-2hat(k)) " and " r=2hat(i)-hat(j)-56hat(k)+mu(3hat(i)-5hat(j)-4hat(k)) .

Find the angle between the following pairs of lines : r=2hat(i)-5hat(j)+hat(k)+lambda(3hat(i)+2hat(j)+6hat(k)) " and " r=7hat(i)-6hat(k)+mu(hat(i)+2hat(j)+2hat(k))

Find the angle between the pair of lines vec(r)=3hat(i)+5hat(j)-hat(k)+lambda(hat(i)+hat(j)+hat(k))" and "vec(r)=7hat(i)+4hat(k)+mu(2hat(i)+2hat(j)+2hat(k))

Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+lambda(hat(i)+2hat(j)+2hat(k)) r=5hat(i)-4hat(k)+mu(3hat(i)+2hat(j)+6hat(k))

Find the distance between the parallel lines vec(r)=hat(i)+2hat(j)-4hat(k)+m(2hat(i)+3hat(j)+6hat(k)) " and " vec(r)=3hat(i)+3hat(j)-5hat(k)+n(2hat(i)+3hat(j)+6hat(k))

Find the shortest distance between the lines. r=(hat(i)+2hat(j)+hat(k))+lambda(hat(i)-hat(j)+hat(k)) " and " r=(2hat(i)-hat(j)-hat(k))+mu(2hat(i)+hat(j)+2hat(k)) .

Find the angle between the planes whose vector equations are vec(r)*(2hat(i)+2hat(j)-3hat(k))=5 " and " vec(r)*(3hat(i)-3hat(j)+5hat(k))=3 Note : Angle between two planes is the angle between vec(n_(1)) " and " vec(n_(2))

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

Find angle between the vectors overset(to)(a) = hat(i) + hat(j) - hat(k) and overset(to)(b) = hat(i) + hat(j) + hat(k)

Find the angle between the planes whose vector equation are r.(2hat(i)+2hat(j)-3hat(k))=5, r.(3hat(i)-3hat(j)+5hat(k))=3 .