Home
Class 12
MATHS
For non zero vectors veca,vecb, vecc (...

For non zero vectors `veca,vecb, vecc`
`(veca xx vecb). Vecc= |veca| |vecb||vecc|` holds iff:

A

`veca. Vecb=0, vecb. Vecc=0, vecc.vecane0`

B

`vecb.vecc=0, veccveca=0, veca,vecbne0`

C

`vecc.veca=0,veca.vecb=0,vecb.veccne0`

D

`veca.vecb=vecb.vecc=vecc.veca=0.`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|16 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos

  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

veca. (veca xx vecb)=

(veca + vecb) xx (veca - vecb) is :

Find |vecb| if ( veca +vecb) .( veca - vecb) =8 and |veca|= 8|vecb|

Find |vecb| if (veca + vecb).(veca - vecb) =8 and |veca| = 8|vecb|

The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb and vecc=-7 vecb. Then the angle between veca and vecc is :

Prove that [veca+vecb vecb+vecc vecc+veca]= 2[veca vecb vecc]

Let veca, vecb and vecc be non-zero vectors such that (veca xx vecb) xx vecc=1/3|vecb||vecc|veca. If theta is the acute angle between the vectors vecb and vecc, then sin theta equals.

Find |vecb| ,if (veca+vecb) . (veca-vecb)=8 and |veca|=8|vecb| .

MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. If veca , vecb and vecc are three non-coplanar vectors and vecp , vecq...

    Text Solution

    |

  2. For non zero vectors veca,vecb, vecc (veca xx vecb). Vecc= |veca| |v...

    Text Solution

    |

  3. If veca= hati + hatj - hatk, vecb = hati - hatj + hatk and vecc is uni...

    Text Solution

    |

  4. If vec alpha = 2 hati + 3 hatj - hatk, vec beta =- hati + 2 hatj - 4 h...

    Text Solution

    |

  5. The scalar vecA.(vecB+vecC) xx (vecA+vecB+vecC) is :

    Text Solution

    |

  6. If veca, vecb, vecc are three non-coplanar vectors, then [veca+ vecb +...

    Text Solution

    |

  7. The position vectors of the points A and B are veca and vecb respectiv...

    Text Solution

    |

  8. If the non-zero vectors veca and vecb are perpendicular to each other,...

    Text Solution

    |

  9. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

    Text Solution

    |

  10. If veca, vecb and vecc are unit coplanar vectors, then the scalar trip...

    Text Solution

    |

  11. If veca = hati + hatj - hatk, vecb =- hati + 2 hatj + 2 hatk and vec c...

    Text Solution

    |

  12. If veca,vecb,vecc are unit vectors, then : |veca -vecb|^(2)+|vecb -v...

    Text Solution

    |

  13. If veca = ahti - ahtk, vecb = x hati + hatj + (1-x) hatk and vecc = y ...

    Text Solution

    |

  14. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

    Text Solution

    |

  15. If veca = 3 hati - 5 hatj and vecb = 6 hati + 3 hatj are two vectors ...

    Text Solution

    |

  16. Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a ...

    Text Solution

    |

  17. If veca and vecb are two unit vectors such that veca + 2 vecb and 5 v...

    Text Solution

    |

  18. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

    Text Solution

    |

  19. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

    Text Solution

    |

  20. Let veca, vecb and vecc be three non-zero vectors such that no two of ...

    Text Solution

    |