Home
Class 11
MATHS
Find unit vector orthogonal to the vecto...

Find unit vector orthogonal to the vector `3bari + 2barj + 6bark` and coplanar with the vectors `2bari + barj+bark and bari - barj + bark`.

A

`1/10(bari+barj+3bark)`

B

`pm1/sqrt10(3bari-bark)`

C

`pm1/sqrt10(3bari+bark)`

D

`1/10(bari-barj-3bark)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|30 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the vectors bari+2barj+3bark" and "3bari-barj+2bark .

Prove that the vectors bara= 2bari - barj + bark, barb = bari -3barj -5bark and barc=3bari -4barj -4bark are coplanar.

If the projection of the vector bari+barj+bark " on the vector " abari+barj+2bark " is " 5//3 , then a =

Find the value of lamda for which the four points with position vectors bari - 2barj + bark, 2bari - barj + lamdabark , 2bari + barj -bark and 3bari + barj - bark are coplanar.

Show that the vectors bara= bari + 3barj + bark, barb =2bari - barj-bark and barc=7barj +3bark are coplanar.

Find the value of [bari+barj+bark,bari-barj,bari+2barj-bark] .

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. A=(2,3,5), B(-1,3,2), C=(lambda,5,mu) are the vertices of a triangle. ...

    Text Solution

    |

  2. The vector bara,barb,barc are equal in length and pair wise make equal...

    Text Solution

    |

  3. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

    Text Solution

    |

  4. If bara=4bari+5barj-bark, barb=bari-4barj+5bark, barc=3bari+barj-bark ...

    Text Solution

    |

  5. If barp=(3,-1,5), barq = (1,2,-3). A vector barr is such that it is ...

    Text Solution

    |

  6. If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(ba...

    Text Solution

    |

  7. If kbara = 3barb+2barc, bara=-2barb+5barc " and if " barb and barc hav...

    Text Solution

    |

  8. bara,barb,barc and bard are the position vectors of four coplanar poin...

    Text Solution

    |

  9. In a Delta ABC, bar(OA)= bara, bar(OB)=barb, bar(OC) = barc. if (bar...

    Text Solution

    |

  10. ABC is an equitateral triangle of side 'a'. Then bar(AB).bar(BC)+bar...

    Text Solution

    |

  11. In Delta ABC , angleABC=90^(@). If P and Q are points of trisection o...

    Text Solution

    |

  12. A parallogram constructed on the vector bar(a) =3barp-barq and bar(b)...

    Text Solution

    |

  13. The length of the projection of the vector (1,-2,-1) on the vector joi...

    Text Solution

    |

  14. The magnitude of the projection of the vector bara=4bari-3barj+2bark o...

    Text Solution

    |

  15. If barb=4bari+3barj and barc be two perpendicular vectors in xy-plane....

    Text Solution

    |

  16. Let bara = 2bari -barj+bark , barb=bari+2barj-bark , barc=bari+barj-2b...

    Text Solution

    |

  17. The triangle ABC is defined by the vertices A =(0,7,10), B = (-1,6,6) ...

    Text Solution

    |

  18. In the Parallelogram ABCD, bar(AC)^(2)-bar(BD)^(2) =

    Text Solution

    |

  19. The bot r bisecting plane of the line segment joining the points (3,1,...

    Text Solution

    |

  20. The vector equation of the plane which contains the point (1,1,8) and ...

    Text Solution

    |