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/(sqrt(41))(2bari-6barj+bark)`

B

`1/(sqrt(13))(2bari-3barj)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE -II|100 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|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-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. If bara. barb = barb. barc = barc . bara = 0 then [bara barb barc] =

    Text Solution

    |

  2. Let bara=2bari+barj+bark,barb=bari+2barj-bark and a unit vector barc b...

    Text Solution

    |

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

    Text Solution

    |

  4. Let baralpha=abari+bbarj+cbark,barbeta=bbari+cbarj+abark and bargamma=...

    Text Solution

    |

  5. If barx.bara=barx.barb=barx.barc=0 for some non-zero vector barx and a...

    Text Solution

    |

  6. If bara, barb, barc represents three concurrent edges of a rectangular...

    Text Solution

    |

  7. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

    Text Solution

    |

  8. bara,barb,barc are non-coplanar and barl=(barbxxbarc)/([bara barb barc...

    Text Solution

    |

  9. bara.barb^(1)+barb.barc^(1)+barc.bara^(1)=

    Text Solution

    |

  10. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

    Text Solution

    |

  11. baraxxbara^(1)+barbxxbarb^(1)+barcxxbarc^(1)=

    Text Solution

    |

  12. The vector [(bari-barj)xx(barj-bark)]xx(bari+5bark) is

    Text Solution

    |

  13. Let bara,barb,barc be three vectors which satisfy baraxx(barbxxbarc)=(...

    Text Solution

    |

  14. If bara=bari+barj+bark,bara.barb=1,baraxxbarb=2bari+barj-3bark then 3b...

    Text Solution

    |

  15. Unit vector coplanar with bari+barj+2bark,bari+2barj+bark and perpendi...

    Text Solution

    |

  16. If bara,barc,bard are coplaner then the value of (bard+bara).[baraxx{b...

    Text Solution

    |

  17. Let bara, barb, barc be three vectors having magnitudes 1,1,2 respecti...

    Text Solution

    |

  18. If bara,barb,barc are non-coplanar unit vectors such that baraxx(barbx...

    Text Solution

    |

  19. Vector component of barb perpendicular to bara is

    Text Solution

    |

  20. The vector equation of the plane passing through the points (1, -2, 5)...

    Text Solution

    |