Home
Class 12
MATHS
Given the straight linrs barr=3i+2j-4k...

Given the straight linrs
`barr=3i+2j-4k+lambda(i+2j+2k)` and `barr=5i-2k+mu(3i+2j+6k)`
Obtain the unit vector perpendicular to both the lines.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|106 Videos

  • VECTOR ALGEBRA

    MAXIMUM PUBLICATION|Exercise EXAMPLE|107 Videos

Similar Questions

Explore conceptually related problems

Given the straight lines barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2k+mu(3i+2j+6k) Form the equation of the line perpendicular to the given lines and passing through the point(1,1,1)

Given the straight linrs barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2k+mu(3i+2j+6k) Find the angle between the lines.

Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu(2j-k) Find a vector perpendicular to both the lines.

Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu(2j-k) Find the angles between the lines.

Find the angle between the pair lines barr=2i-5j+k+lambda(3i+2j+6k) and barr=7i-6k+mu(i+2j+2k)

Let veca=2i+4j-5k , vecb=i+2j+3k . Then find a unit vector perpendicular to both veca and vecb .

Write the unit vector in direction of i+2j-3k .

The lines r = i + j - k + lambda (3i - j) and r = 4i - k + mu (2i + 3k) intersect at the point

if bara=3i+2j+2k,barb=i+2j-2k find a unit vector perpendicular to both bara+barb,bara-barb

Find the shortest distance between the lines barr=i+j+lambda(2i-j+k) and barr=2i+j-k+mu(3i-5j+2k)

MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Find the Cartesian equation of the plane passing through the point A(2...

    Text Solution

    |

  2. The distance of the plane x+y+z = 1 from the point (1,1,1) is a)4 ...

    Text Solution

    |

  3. Find the equation of the plane passing through (1,0,-2) and perpendicu...

    Text Solution

    |

  4. The lines x-1=y=z is perpendicular to the line.....a)(x-2)/1=(y-1)/2=z...

    Text Solution

    |

  5. Find the shortest distance between the lines barr=i+2j+3k+lambda(i+j+k...

    Text Solution

    |

  6. Find the shortest distance between the lines (x+1)/7=(y+1)/-6=(z+1)/1 ...

    Text Solution

    |

  7. Find the equation of the Plane passing through one point (-1,3,2) and ...

    Text Solution

    |

  8. A line makes equal angles with the coordinate axis . Find the directio...

    Text Solution

    |

  9. Find the equation of the plane passing through (1,1,-1),(2,3,5) and (-...

    Text Solution

    |

  10. Find p and q , if the plane x+py+qz=0 is perpendicular to the plane 3x...

    Text Solution

    |

  11. Given the straight linrs barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2...

    Text Solution

    |

  12. Given the straight linrs barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2...

    Text Solution

    |

  13. Given the straight lines barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2...

    Text Solution

    |

  14. Write the Cartesian equation of the straight line through the point (...

    Text Solution

    |

  15. Write the Cartesian equation of the straight line through the point (...

    Text Solution

    |

  16. Write the Cartesian equation of the straight line through the point (...

    Text Solution

    |

  17. Find the distance from (1,2,3) to the plane 2x+3y-z+2=0

    Text Solution

    |

  18. Consider a plane passing through the point (5,2,-4) and perpendicular ...

    Text Solution

    |

  19. Consider a plane passing through the point (5,2,-4) and perpendicular ...

    Text Solution

    |

  20. Consider a plane passing through the point (5,2,-4) and perpendicular ...

    Text Solution

    |