Home
Class 11
MATHS
Unit vector coplanar with bari+barj+2bar...

Unit vector coplanar with `bari+barj+2bark,bari+2barj+bark` and perpendicular to `bari+barj+bark` is

A

`(bari+bark)/(sqrt2)`

B

`(bari-bark)/(sqrt2)`

C

`(bari+bark)/(sqrt2)`

D

`(barj-bark)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The component vector of 4bari-4barj-7bark " perpendicular to " bari-2barj-bark is

If the vectors bara =bari - barj + 2bark, barb =2bari+4barj+bark and barc = gammabari - barj +mubark are mutually orthogonal, then (gamma,mu)=

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

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.

Let bara =2bari+3barj-bark, barb=bari-2barj+3bark. bare is a vector perpendicular to both bara, barb and bare.(2bari-barj+bark) = -6 then bare =

If the position vectors of A,B and C are respectively 2bari-barj+bark, bari -3barj-5bark and 3bari - 4barj - 4bark, " then " cos^(2) A =

[bari-barj bark]+[-bari-barj bark]+[bari-bark bark] =

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Vector component of barb perpendicular to bara is

    Text Solution

    |

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

    Text Solution

    |

  12. Equation of the plane passing through the points with position vector...

    Text Solution

    |

  13. Vector equation of the plane passing through bara, barb and parallel t...

    Text Solution

    |

  14. The shortest distance between the straight line passing through the po...

    Text Solution

    |

  15. The distance between the plane whose equation is barr · (2bari + barj-...

    Text Solution

    |

  16. The vector equation of a straight line passing through bara and perpen...

    Text Solution

    |

  17. If bara,barb,barc are the position vectors of the vertices of a triang...

    Text Solution

    |

  18. Vector equation of the plane passing through the line barr =bara+ alph...

    Text Solution

    |

  19. The lines barr =bara+ tbarb, barr = barc + bart^(1)bard are coplanar i...

    Text Solution

    |

  20. Let bara=barj-bark and barc= bari -barj-bark. Then the vector barb sat...

    Text Solution

    |