Home
Class 12
MATHS
If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 ...

If `vecX.vecA=0, vecX.vecB=0,vecX.vecC=0` for some non-zero vector, `vecX`, then `[vecAvecBvecC]=0`

Text Solution

Verified by Experts

The correct Answer is:
true
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

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

Similar Questions

Explore conceptually related problems

Assertion: If vecr.veca=0, vecr.vecb=0, vecr.vecc=0 for some non zero vector vecr e then veca,vecb,vecc are coplanar vectors. Reason : If veca,vecb,vecc are coplanar then veca+vecb+vecc=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

If vecr.veca=0,vecr.vecb=0andvecr.vecc=0 for some non-zero vector vecr , then the value of veca.(vecbxxvecc) is…… .

If vecx.veca=0vecx.vecb=0 and vecx.vecc=0 for some non zero vector vecx then show that [veca vecb vecc]=0

If vecx.veca=0vecx.vecb=0 and vecx.vecc=0 for some non zero vector vecx then show that [veca vecb vecc]=0

If vecr.veca=vecr.vecb=vecr.vecc=0 for some non-zero vectro vecr , then the value of [(veca, vecb, vecc)] is

If vecr.veca=vecr.vecb=vecr.vecc=1/2 for some non zero vector vecr and veca,vecb,vecc are non coplanar, then the area of the triangle whose vertices are A(veca),B(vecb) and C(vecc) is

Let vecr be a non - zero vector satisfying vecr.veca = vecr.vecb =vecr.vecc =0 for given non- zero vectors veca vecb and vecc Statement 1: [ veca - vecb vecb - vecc vecc- veca] =0 Statement 2: [veca vecb vecc] =0

If veca, vecb, vecc non-zero vectors such that veca is perpendicular to vecb and vecc and |veca|=1, |vecb|=2, |vecc|=1, vecb.vecc=1 . There is a non-zero vector coplanar with veca+vecb and 2vecb-vecc and vecd.veca=1 , then the minimum value of |vecd| is

Let veca,vecb,vecc be three non-zero vectors such that [vecavecbvecc]=|veca||vecb||vecc| then

If vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc are non-coplanar, then

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vec...

    Text Solution

    |

  2. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

    Text Solution

    |

  3. If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX...

    Text Solution

    |

  4. find three- dimensional vectors, vecv1, vecv2 and vecv3" satisfying "...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  7. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. Let OACB be a parallelogram with O at the origin and OC a diagonal. Le...

    Text Solution

    |

  10. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  11. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

    Text Solution

    |

  12. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

    Text Solution

    |

  13. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

    Text Solution

    |

  18. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  19. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

    Text Solution

    |

  20. If vectors, vecb, vecc and vecd are not coplanar, the prove that vecto...

    Text Solution

    |