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))`

A

`hat(i)+2hat(j)+hat(k)`

B

`2hat(i)+hat(j)+hat(k)`

C

`hat(i)+hat(j)+2hat(k)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 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))

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

    Text Solution

    |

  2. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

    Text Solution

    |

  3. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

    Text Solution

    |

  4. Find the shortest distance between the lines given by the equations ve...

    Text Solution

    |

  5. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

    Text Solution

    |

  6. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

    Text Solution

    |

  7. Find the equation of the plane with intercept 3 on the y-axis and para...

    Text Solution

    |

  8. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

    Text Solution

    |

  9. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

    Text Solution

    |

  10. What is 15% Equals to

    Text Solution

    |

  11. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |

  12. Find the value of x Equation is x+7=6

    Text Solution

    |

  13. Let a,b,c are three vectors of which every pair is non-collinear, if t...

    Text Solution

    |

  14. Equations of the line which passe through the point with position vect...

    Text Solution

    |

  15. Which of the following pairs of linear equations are consistent ? Obta...

    Text Solution

    |

  16. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

    Text Solution

    |

  17. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

    Text Solution

    |

  18. Find the shortest distance between the lines whose equations are : vec...

    Text Solution

    |

  19. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

    Text Solution

    |

  20. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

    Text Solution

    |