Home
Class 12
MATHS
If vecrxxveca=vecbxxveca,vecrxxvecb=veca...

If `vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,veca!=0,vecb!=0,veca!=lamdavecb,veca` is not perpendicular to `vecb` then `vecr=`

A

`veca-vecb`

B

`veca+vecb`

C

`vecaxxvecb+veca`

D

`vecaxxvecb+vecb`

Text Solution

Verified by Experts

The correct Answer is:
B
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

vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,vecanevec0,vecbnevec0,vecanelambdavecb and veca is not perpendicular to vecb , then find vecr in terms of veca and vecb .

vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,vecanevec0,vecbnevec0,vecanelambdavecb and veca is not perpendicular to vecb , then find vecr in terms of veca and vecb .

If vecA+vecB=vecR and 2vecA+vecB is perpendicular to vecB then

If vecax(vecaxxvecb)=vecbxx(vecbxxvecc) and veca.vecb!=0 , and [(veca,vecb,vecc)]=

If veca.vecb=veca.vecc, vecaxxvecb=vecaxxvecc and veca!=vec0, then prove that vecb=vecc.

veca xx [(vecr-vecb)xxveca]+vecb xx [(vecr-vecc)xxvecb]+vecc xx [(vecr-veca)xxvecc]=0 and veca , vecb and vecc are unit vector mutually perpendicular to each other then the vecr is :

Find vector vecr if vecr.veca=m and vecrxxvecb=vecc, where veca.vecb!=0

If |veca+vecb|=|veca-vecb|, (veca,vecb!=vec0) show that the vectors veca and vecb are perpendicular to each other.

Solve vecrxxvecb=vecaxxvecb, where veca, vecb are two given vectors

If veca.vecb=0 and vecaxxvecb=0 prove that veca=0 or vecb=vec0 .

OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If vecaxxvecb=vecc and vecbxxvecc=veca then a. veca,vecb,vecc are ort...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. (vecbxxvecc)xx(veccxxveca)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If vecax(vecaxxvecb)=vecbxx(vecbxxvecc) and veca.vecb!=0, and [(veca,v...

    Text Solution

    |