Home
Class 12
MATHS
Determine whether the lines vec(r)=3ha...

Determine whether the lines
`vec(r)=3hat(i)-hat(j)+lamda(3hat(i)+hat(k))` and `vec(r)=hat(i)-hat(j)+mu(2hat(i)+hat(j)-2hat(k))` intersect or not

Text Solution

Verified by Experts

The correct Answer is:
intersect
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE (M.C.Q) |7 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

Similar Questions

Explore conceptually related problems

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

Determine whether the following pair of lines intersect vec(r)=hat(i)-hat(j)+lamda(2hat(i)-hat(k)) and vec(r)=(2hat(i)-hat(j))+mu(hat(i)-hat(j)-hat(k))

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

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

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

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

Show that the lines vec(r)=3hat(i)+2hat(j)-4hat(k)+lamda(hat(i)+2hat(j)+2hat(k)) vec(r)=5hat(i)-2hat(j)+hat(k)+mu(3hat(i)+2hat(j)+6hat(k)) intersect, Hence find the point of intersection.

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))

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Find the equation of the plane containing the line (x+3)/(2)=(y-2)/(-1...

    Text Solution

    |

  2. Find the equation of the plane through the point (1,1,1) and perpendic...

    Text Solution

    |

  3. Determine whether the lines vec(r)=3hat(i)-hat(j)+lamda(3hat(i)+hat(...

    Text Solution

    |

  4. Find the equation of the plane passing through the points (0,-1,1),(4,...

    Text Solution

    |

  5. Find the equation of the plane passing through the point (1,1,0),(1,2,...

    Text Solution

    |

  6. Find the angle between the following pairs of lines x/2=y/2=z/1 and (x...

    Text Solution

    |

  7. vec(r)=(1-t)hat(i)+(t-2)hat(j)-(3-2t)hat(k) and vec(r)=(1-t)hat(i)(t-...

    Text Solution

    |

  8. Find the angle between these two lines (x+2)/(1)=(y-1)/(-2)=(z-1)/(1) ...

    Text Solution

    |

  9. Find the vector equation of the plane which is at a distance of 7 unit...

    Text Solution

    |

  10. Find the equation of the plane through intersection of the planes : ...

    Text Solution

    |

  11. Find the equation of the plane passing through the points (1,2,-1),(...

    Text Solution

    |

  12. Find the equation of the plane passing through the points (1,1,0),(1...

    Text Solution

    |

  13. Find the direction cosine of a line parallel to the line (2x-5)/(4)=(y...

    Text Solution

    |

  14. Find the equation of the straight line passing through the point (2,-1...

    Text Solution

    |

  15. Find the equation of a plane through the points (1,0,1),(1,2,-2),(2,...

    Text Solution

    |

  16. Find the equation of a plane passing through the points (1,1,2) and (1...

    Text Solution

    |

  17. Find the equation of the plane through the point (-1, -1, 2) and (3, 4...

    Text Solution

    |

  18. Find the equation of the plane passing through the point(-1, 3, 2) and...

    Text Solution

    |

  19. A variable plane which is at a constant 6 p from the origin meets the ...

    Text Solution

    |

  20. Show that the lines (x-1)/(2)=(y-3)/(4)=-z and (x-4)/(2)=(y-1)/(-2)=(z...

    Text Solution

    |