Home
Class 12
MATHS
If veca xx (vec b xx vecc) is perpendicu...

If `veca xx (vec b xx vecc)` is perpendicular to `(veca xx vecb ) xx vecc`, we may have

A

`vecb.vecc=0`

B

`veca.vecb=0`

C

`veca.vecc=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

If veca , vecb and vecc are non- coplanar vectors and veca xx vecc is perpendicular to veca xx (vecb xx vecc) , then the value of [ veca xx ( vecb xx vecc)] xx vecc is equal to

Let veca,vecb,vecc be three non coplanar and vecd be a vector which is perpendicular to veca + vecb + vecc . If vecd = xvecb xx vecc + yvecc xx veca + zveca xx vecb the-

Let veca vecb and vecc be non- zero vectors aned vecV_(1) =veca xx (vecb xx vecc) and vecV_(2) = (veca xx vecb) xx vecc .vectors vecV_(1) and vecV_(2) are equal . Then

Let veca, vecb, and vecc be three non- coplanar vectors and vecd be a non -zero , which is perpendicular to (veca + vecb + vecc). Now vecd = (veca xx vecb) sin x + (vecb xx vecc) cos y + 2 (vecc xx veca) . Then

Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|vec b|=5 , vec b .vec c = 10 and the angle between vec b and vec c is pi/3, if vec a is perpendicular to the vector vec b xx vec c, then | veca xx (vecbxxvecc)| is equal to __________.

veca=2hati+hatj+2hatk, vecb=hati-hatj+hatk and non zero vector vecc are such that (veca xx vecb) xx vecc = veca xx (vecb xx vecc) . Then vector vecc may be given as

Given vec(a) is perpendicular to vecb+vecc , vecb is perpendicular to vecc+veca and vecc is perpendicular to veca+vecb . If |veca|=1, |vecb|=2, |vecc|=3 , find |veca+vecb+vecc|

If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc + vecc xx veca=

Let veca, vecb and vecc are three unit vectors in a plane such that they are equally inclined to each other, then the value of (veca xx vecb).(vecb xx vecc) + (vecb xx vecc). (vecc xx veca)+(vecc xx veca). (veca xx vecb) can be

If vectors, vecb, vecc and vecd are not coplanar, the prove that vector (veca xx vecb) xx (vecc xx vecd) + ( veca xx vecc) xx (vecd xx vecb) + (veca xx vecd) xx (vecb xx vecc) is parallel to veca .

VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

    Text Solution

    |

  2. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

    Text Solution

    |

  3. If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...

    Text Solution

    |

  4. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

    Text Solution

    |

  5. If veca is perpendicular to vecb and vecr is a non-zero vector such th...

    Text Solution

    |

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

    Text Solution

    |

  7. Given that veca,vecc,vecd are coplanar the value of (veca + vecd).{vec...

    Text Solution

    |

  8. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

    Text Solution

    |

  9. If A(1,-1,-3),B(2,1,-2) and C(-5,2,-6) are the position vectors of the...

    Text Solution

    |

  10. If |{:(veca,vecb,vecc),(veca.veca,veca.vecb,veca.vecc),(veca.vecc,vecb...

    Text Solution

    |

  11. Let vec(A)D be the angle bisector of angle A" of " Delta ABC such th...

    Text Solution

    |

  12. Let veca = 2hati + hatj + hatk, and vecb = hati+ hatj if c is a vecto...

    Text Solution

    |

  13. If veca and vecb are two unit vectors and theta is the angle between t...

    Text Solution

    |

  14. If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc...

    Text Solution

    |

  15. If veca,vecb,vecc and vecp,vecq,vecr are reciprocal system of vectors,...

    Text Solution

    |

  16. For any four vectors veca, vecb, vecc, vecd the expressions (vecb xx v...

    Text Solution

    |

  17. If veca xx (vec b xx vecc) is perpendicular to (veca xx vecb ) xx vecc...

    Text Solution

    |

  18. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

    Text Solution

    |

  19. Let p and q be the position vectors of P and Q respectively with respe...

    Text Solution

    |

  20. If in a right-angled triangle A B C , the hypotenuse A B=p ,t h e n...

    Text Solution

    |