Home
Class 12
MATHS
Ifveca.vecb = vecc.veca for all vectors ...

If`veca.vecb` = `vecc.veca` for all vectors `veca`, then

A

`vecabot(vecb-vecc)`

B

`vecb-vecc` = 0

C

`vecbnevecc`

D

`vecb+vecc` = 0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

If veca , vecb and vecc are non-zero vectors, then vecaxxvecb = vecaxxvecc

If veca,vecb and vecc are three vectors such that veca x vecb = vecc and vecb x vecc = veca , then prove that veca,vecb and vecc are mutually at right angles and |vecb| = 1,|vecc| = |veca|

If veca,vecb,vecc are such that veca.vecb = veca.vecc then show that veca = vec0 or vecb = vecc or veca is perpendicular to vecb.vecc .

If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|vecc|=13 and veca+vecb+vecc=0 then find the value of veca.vecb+vecb.vecc+vecc.veca.

If veca,vecb and vecc are three vectors such that |veca|= 3,|vecb|= 4 and |vecc|= 5 and each one of these is perpendicular to the sum of other two, then find |veca + vecb+ vecc| .

|veca| = |vecb| = veca = vecb .

Three vectors veca, vecb and vecc satisfy the condition veca + vecb + vecc = 0 . Find the value of veca.vecb + vecb.vecc + vecc.veca if |veca| = 1, |vecb|= 4, |vecc|= 2 .

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc = vec0 , find the value of veca.vecb+vecb.vecc+vecc.veca .

If veca, vecb, vecc are mutually perpendicular vectors of equal magnitude, show that veca+vecb+vecc is equally inclined to veca.vecb.vecc .

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. If veca = hati+2hatj-hatk, vecb = hati+hatj+2hatk, vecc = 2hati-hatj ...

    Text Solution

    |

  2. (-3, lemda, 1) bot(1,0,-3) implieslemda =

    Text Solution

    |

  3. Ifveca.vecb = vecc.veca for all vectors veca, then

    Text Solution

    |

  4. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  5. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  6. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  7. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  8. If A,B,C are the points (1,0,2), (0,3,1) and (5,2,0) respectively, fin...

    Text Solution

    |

  9. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  10. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  11. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  12. Find the value of lambda so that the vectors veca and vecb are perpend...

    Text Solution

    |

  13. Find the scalar and vector projection of veca on vecb. veca = hati, v...

    Text Solution

    |

  14. Find the scalar and vector projection of veca on vecb. veca = hati+hat...

    Text Solution

    |

  15. Find the scalar and vector projection of veca on vecb. veca = hati-hat...

    Text Solution

    |

  16. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  17. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  18. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  19. In each of the problems given below, find the work done by a force vec...

    Text Solution

    |

  20. If (veca + vecb).(veca-vecb) = 0 show that |veca| = |vecb|.

    Text Solution

    |