Home
Class 12
MATHS
If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]...

If `vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,vecb,vecc)]),vecr=(vecaxxvecb)/([(veca,vecb,vecb)])` where `veca,vecb,vecc` are three non-coplanar vectors, then the value of the expression `(veca+vecb+vecc).(vecp+vecq+vecr)` is

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
NA
Promotional Banner

Topper's Solved these Questions

  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • SCALER AND VECTOR PRODUCTS OF TWO VECTORS

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|12 Videos

Similar Questions

Explore conceptually related problems

If vecP = (vecbxxvecc)/([vecavecbvecc]).vecq=(veccxxveca)/([veca vecb vecc])and vecr = (vecaxxvecb)/([veca vecbvecc]), " where " veca,vecb and vecc are three non- coplanar vectors then the value of the expression (veca + vecb + vecc ). (vecq+ vecq+vecr) is

If is given that vecx= (vecbxxvecc)/([veca,vecb,vecc]), vecy=(veccxxveca)/[(veca,vecb,vecc)], vecz=(vecaxxvecb)/[(veca,vecb,vecc)] where veca,vecb,vecc are non coplanar vectors. Find the value of vecx.(veca+vecb)+vecy.(vecc+vecb)+vecz(vecc+veca)

If vecA=(vecbxxvecc)/([vecb vecc vecc]), vecB=(veccxxveca)/([vecc veca vecb)], vecC=(vecaxxvecb)/([veca vecb vecc)] find [vecA vecB vecC]

If veca, vecb, vecc are three non-coplanar vectors, then a vector vecr satisfying vecr.veca=vecr.vecb=vecr.vecc=1 , is

Let veca, vecb, vecc be three non-coplanar vectors and vecp,vecq,vecr be the vectors defined by the relations. vecp=(vecbxxvecc)/([(veca, vecb, vecc)]),vecq=(veccxxveca)/([(veca, vecb, vecc)]),vecr=(veccxxveca)/([(veca,vecb,vecc)]) Then the value of the expression (veca+vecb).vecp+(vecb+vecc).vecq+(vecc+veca).vecr is equal to

If |{:(veca,vecb,vecc),(veca.veca,veca.vecb,veca.vecc),(veca.vecc,vecb.vecc,veca.vecc)| where veca, vecb,vecc are coplanar then:

Solve veca.vecr=x, vecb.vecr=y, vecc.vecr=z , where veca,vecb,vecc are given non coplanar vectors.

Let veda,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are vectors defined by the relations vecp= (vecbxxvecc)/([veca vecb vecc]), vecq= (veccxxvecca)/([veca vecb vecc]), vecr= (vecaxxvecb)/([veca vecb vecc]) then the value of the expression (veca+vecb).vecp+(vecb+vecc).vecq+(vecc+veca).vecr . is equal to (A) 0 (B) 1 (C) 2 (D) 3

OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  2. If vecaxxvecb=vecc and vecbxxvecc=veca then a. veca,vecb,vecc are ort...

    Text Solution

    |

  3. If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,ve...

    Text Solution

    |

  4. If vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,veca!=0,vecb!=0,veca!=l...

    Text Solution

    |

  5. The vector veca coplanar with the vectors hati and hatj perendicular t...

    Text Solution

    |

  6. If the vectors veca and vecb are mutually perpendicular, then vecaxx{v...

    Text Solution

    |

  7. [((vecaxxvecb)xx(vecbxxvecc),(vecbxxvecc)xx(veccxxveca),(veccxxveca)xx...

    Text Solution

    |

  8. Let veca=hati-hatj,vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit v...

    Text Solution

    |

  9. If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati...

    Text Solution

    |

  10. hata and hatb are two mutually perpendicular unit vectors. If the vect...

    Text Solution

    |

  11. If three concurrent edges of a parallelopiped of volume V represent ve...

    Text Solution

    |

  12. If veca=hati+hatj+hatk, vecb=hati+hatj,vecc=hati and (vecaxxvecb)xxvec...

    Text Solution

    |

  13. If veca=2hati-3hatj+5hatk , vecb=3hati-4hatj+5hatk and vecc=5hati-3hat...

    Text Solution

    |

  14. If veca,vecb,vecc are linearly independent vectors, then ((veca+2vecb)...

    Text Solution

    |

  15. If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[...

    Text Solution

    |

  16. If [(2veca+4vecb,vecc,vecd)]=lamda[(veca,vecc,vecd)]+mu[(vecb,vecc,vec...

    Text Solution

    |

  17. If the volume of the tetrahedron whose vertices are (1,-6,10),(-1,-3,7...

    Text Solution

    |

  18. (vecbxxvecc)xx(veccxxveca)=

    Text Solution

    |

  19. When a right handed rectangular Cartesian system OXYZ rotated about z-...

    Text Solution

    |

  20. Prove that vectors vecu=(al+a(1)l(1))hati+(am+a(1)m(1))hatj + (an+a(...

    Text Solution

    |