Home
Class 12
MATHS
If barc=bara times barb and barb=barc ti...

If `barc=bara times barb and barb=barc times bara` then

A

`bara.barb=barc^2`

B

`barc.bara=barb^2`

C

`bara bot barb`

D

`bara||(bar b times barc)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    FIITJEE|Exercise COMPREHENSIONS|3 Videos
  • VECTOR

    FIITJEE|Exercise MATCH THE COLUMNS|5 Videos
  • VECTOR

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|49 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Let barlamda=bara times (barb +barc), barmu=barb times (barc+bara) and barv=barc times (bara+barb) , Then

IF bara times barb = barc and barb times barc=bara then

bara,barb,barc,bard are four distinct vectors satisfying the conditions bar a times barb =barc times bard and bara times barc=barb times bard then show that bara.barb+bard.barc ne bard.barb+bara.barc.

bara times (barb times barc) +barb times (barc times bara)+ barc times (bara times barb) equals

IF barx times barb=barc times barb and barx . bara =0 then barx=

IF bar(a),bar(b),bar(c ) are vectors from the origin to three points A,B,C show that bara times barb +barb times barc+barc times bara is perpendicular to the plane ABC.

If hatd is a unit vectors such that hatd=lamdabarb times barc+mubarc times bara+vbara times barb then |(hatd.bara)(barb times barc)+(bard.barb) (barc times bara)+(bard.barc) (bara times barc)| is equal to

Show that vectors bara times (barb times barc),barb times (barc times bara). barc times (bara times barb) are coplanar.

FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II
  1. ABCD is a rhombus IF M,N,P are points taken on sides AB,BC,CD respecti...

    Text Solution

    |

  2. Three points having position vectors bara,barb and barc will be collin...

    Text Solution

    |

  3. IF bara,barb,barc and bard are any four vectors then (bara times barb)...

    Text Solution

    |

  4. A line passes through the points whose position vectors are hati+hatj-...

    Text Solution

    |

  5. IF barx times barb=barc times barb and barx . bara =0 then barx=

    Text Solution

    |

  6. IF |bara|=4,|barb|=2 and the angle between bara and barb is pi/6 then ...

    Text Solution

    |

  7. The position vectors of the vertices A, B and C of a tetrahedron ABCD ...

    Text Solution

    |

  8. If vec(DA)=veca,vec(AB)=vecb and vec(CB)=kveca where kgt0 and X,Y are ...

    Text Solution

    |

  9. If barc=bara times barb and barb=barc times bara then

    Text Solution

    |

  10. If bara,barb and barc are non coplanar vectors such that barb times ba...

    Text Solution

    |

  11. The position vectors of the vertices, A,B,C of a tetrahedron ABCD are ...

    Text Solution

    |

  12. Let bara,barb and barc are three mutually perpendicular unit vectors a...

    Text Solution

    |

  13. Let veca = hati + hatj + hatk and let vecr be a variable vector such t...

    Text Solution

    |

  14. Let barlamda=bara times (barb +barc), barmu=barb times (barc+bara) and...

    Text Solution

    |

  15. Let bara,barb,barc be three coplanar unit vectors such that bara+barb+...

    Text Solution

    |

  16. For three non-coplanar vectors bara,barb,barc the relation |(bara time...

    Text Solution

    |

  17. If bara=hati+hatj+hatk , bara.barb=2 and bara times barb=2hati+hatj-3h...

    Text Solution

    |

  18. Let bara.barb and barc are three unit vectors such that |bara+barb+bar...

    Text Solution

    |