Home
Class 12
MATHS
Let veca, vecb, vecc be unit vectors suc...

Let `veca, vecb, vecc` be unit vectors such that ` veca + vecb + vecc = vec0.` Which one of the following is correct ?

A

`vca xx vecb = vecb xx vecc = vecc xx veca = vec0`

B

`veca xx vecb = vecb xx vecc = vecc xx veca ne vec0`

C

`veca xx vecb = vecb xx vecc = veca xx vecc ne vec0`

D

`veca xx vecb, vecb xx vecc, vecc xx veca` are mutually perpendicular.

Text Solution

Verified by Experts

The correct Answer is:
B
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

If veca,vecb and vecc are unit vectors such that veca+vecb+vecc=vec0 then angle between veca and vecb is

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.

veca, vecb, vec c are three vectors such that veca + vecb + vec c = vec0, |veca| =1, |vecb| =2, |vec c|=3, then : veca.vecb + vecb .vecc+ vecc.veca is equal to :

If veca , vecb, vecc and vecd are unit vectors such that (veca xx vecb). (veccxx vecd) =1 and veca. Vecc= 1/2 then :

If veca, vecb, vecc are three vectors such that veca + vecb + vecc= vec0 and |veca | =2, |vecb|=3, |vecc| = 5, then value of veca. vecb+vecb.vec c+vec c. veca is :

If vec alpha and vec beta are two vectors such atht veca. vecb =0 and veca xx vec b =vec0, then:

If veca and vecb are two unit vectors such that veca + 2 vecb and 5 veca - 4 vecb are perpendicular to each other, then the angle between veca and vecb is :

MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If veca = (hati +hat j + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk...

    Text Solution

    |

  5. If veca, vecb, cecc are non-coplanar vectors and lamda is a real numbe...

    Text Solution

    |

  6. If hatu and hatv are unit vactors and theta is the angle between them,...

    Text Solution

    |

  7. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

    Text Solution

    |

  8. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

    Text Solution

    |

  9. The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb ...

    Text Solution

    |

  10. Let the vectors veca, vecb, vecc and vecd be such that (veca xx vecb) ...

    Text Solution

    |

  11. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

    Text Solution

    |

  12. If veca, vecb, vecc are three non-zero, non-coplanar vectors and vec...

    Text Solution

    |

  13. Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - ha...

    Text Solution

    |

  14. The number of distinct real values of lamda, for which the vectors : ...

    Text Solution

    |

  15. Let veca, vecb, vecc be unit vectors such that veca + vecb + vecc = v...

    Text Solution

    |

  16. The edges of a parallelopiped are of unit length and are parallel to n...

    Text Solution

    |

  17. Let two non-collinear unit vectors hata and hatb form an acute angle. ...

    Text Solution

    |

  18. If vec u , vec nu, and vec w are non coplanar vectors and p,q are real...

    Text Solution

    |

  19. If veca , vecb, vecc and vecd are unit vectors such that (veca xx vecb...

    Text Solution

    |

  20. Let (P (3,2,6) be a point in space and Q be point on the line vecr = (...

    Text Solution

    |