Home
Class 12
MATHS
Show that the vectors 2 hat i-3 hat j+4 ...

Show that the vectors `2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8 hat k` are collinear.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

Show that the vectors 2 hat i-3 hat j+4 hat k and -4 hat i+6 hat j-8 hat k are collinear.

For what value of a the vectors 2 hat i-3 hat j+4 hat k\ a n d\ a hat i+6 hat j-8 hat k are collinear?

For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a hat i+6 hat j-8 hat k are collinear?

Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 hat i+ hat j+3 hat k\ a n d-4 hat i+3 hat j- hat k are collinear.

The value of 'a' so that the vectors 2 hat(i) - 3hat(j) + 4hat(k) and a hat(i) + 6hat(j) - 8hat(k) are collinear

Find a unit vector perpendicular to both the vectors 4 hat i- hat j+3 hat k\ a n d-2 hat i+ hat j-2 hat kdot

Show that the vectors vec a=-2 hat i-2 hat j+4 hat k ,\ vec b=-2 hat i+4 hat j-2 hat k\ a n d\ vec c=4 hat i-2 hat j-2 hat k are coplanar.

Find a vector of magnitude 49, which is perpendicular to both the vectors 2 hat i+3 hat j+6 hat k\ a n d\ 3 hat i-6 hat j+2 hat kdot

Show that the vectors veca= hat i-2 hat j+3 hat k , vecb=-2 hat i+3 hat j-4 hat ka n d vec c= hat i-3 hat j+5 hat k are coplanar.

If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat k are parallel find the value of mdot

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If vec A O+ vec O B= vec B O+ vec O C , prove that A , B , C are coll...

    Text Solution

    |

  2. If the points A(m ,-1),\ B(2,1)a n d\ C(4,5) are collinear find the va...

    Text Solution

    |

  3. Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8...

    Text Solution

    |

  4. Show that the points (3,4), (-5, 16), (5,1) are collinear.

    Text Solution

    |

  5. If the vectors vec a=2 hat i-3 hat j\ a n d\ vec b=-6 hat i+m hat j ...

    Text Solution

    |

  6. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  7. Using vectors show that the points A(-2,3,5), B(7,0,-1), C(-3,-2,-5) a...

    Text Solution

    |

  8. Show that the points whose position vectors are as given below are ...

    Text Solution

    |

  9. Using vector method, prove that the following points are collinear: A...

    Text Solution

    |

  10. Using vector method, prove that the following points are collinear: A...

    Text Solution

    |

  11. Using vector method, prove that the following points are collinear: A...

    Text Solution

    |

  12. Using vector method, prove that the following points are collinear: ...

    Text Solution

    |

  13. If a ,\ b ,\ c are non zero non coplanar vectors, prove that the follo...

    Text Solution

    |

  14. Let vec a , vec ba n d vec c , be non-zero non-coplanar vectors. Prov...

    Text Solution

    |

  15. Show that the four points having position vectors 6 hat i-7 hat j ,...

    Text Solution

    |

  16. Prove that the following vectors are coplanar: 2 hat i- hat j+ hat k ,...

    Text Solution

    |

  17. Prove that the following vectors are coplanar: hat i+ hat j+ hat k ,\...

    Text Solution

    |

  18. Prove that the following vectors are non coplanar: 3 hat i+ hat j- hat...

    Text Solution

    |

  19. Prove that the following vectors are non-coplanar: hat i+2 hat j+3 ha...

    Text Solution

    |

  20. If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the...

    Text Solution

    |