Home
Class 12
MATHS
Find the angle between the pair of lines...

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))`

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)(19)/(21)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the pairs of line r=3hat(i)+2hat(j)-4hat(k)+lambda(hat(i)+2hat(j)+2hat(k)) and hat(r)=5hat(i)-2hat(j)+mu(3hat(i)+2hat(j)+6hat(k)) .

Find the angle between the pair of lines vec(r)=2hat(i)-5hat(j)+hat(k)+lamda(3hat(i)+2hat(j)+6hat(k)) and vec(r)=7hat(i)-6hat(k)+hat(h)(hat(i)+2hat(j)+2hat(k))

Find the shortest distance between the lines vec(r)=(hat(i)+2hat(j)+hat(k))+lamda(hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)-hat(j)-hat(k)+mu(3hat(i)-hat(j)+hat(k))

Find the shortest distance between the following lines vec(r)=hat(i)-hat(j)-hat(k)+lamda(hat(i)+hat(j)-hat(k)) and vec(r)=3hat(i)-hat(j)-2hat(k)+mu(-hat(i)+2hat(j)+hat(k))

Find the shortest distance between the following lines vec(r)=hat(i)+hat(j)-2hat(k)+lamda(hat(i)+hat(j)+hat(k)) and vec(r)=hat(i)+hat(j)+hat(k)+mu(hat(i)+hat(j)+hat(k))

Find the shortest distance between the lines vec(r)=hat(i)+2hat(j)+3hat(k)+lamda(2hat(i)+3hat(j)+4hat(k)) and vec(r)=2hat(i)+4hat(j)+5hat(k)+mu(3hat(i)+4hat(j)+4hat(k))