Home
Class 12
MATHS
If veca.vecb=vecb.vecc=vecc.veca=0 ,th...

If ` veca.vecb=vecb.vecc=vecc.veca=0 ` ,then the value of ` |[veca,vecb,vecc]| ` is________

A

` |veca||vecb||vecC| `

B

` (1)/(3)|veca||vecb||vecC| `

C

1

D

-1

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.9|8 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

Similar Questions

Explore conceptually related problems

Prove that [veca-vecb,vecb-vecc,vecc-veca]=0

If veca,vecb are two unit vectors such that veca+(veca xx vecb)=vecc , where |vecc|=2 , then value of [vecavecbvecc] is

Given veca*vecc=4, veca*vecd=3, vecb*vecc=2, vecb*vecd=3 . Then value of (veca xx vecb)*(vecc xx vecd) is :

If |veca|=|vecb|=|vecc|=2 and veca.vecb=vecb.vecc=vecc xx veca=2 , then [veca vecb vecc] cos 45^(circ) is equal to

The vectors veca-vecb,vecb-vecc,vecc-veca are

Let vecC=vecA+vecB

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(vecc0 is (A) |[veca vecb vecc]| (B) |vecr| (C) |[veca vecb vecr]vecr| (D) none of these

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

If [ veca vecbvecc]=2 , then find the value of [(veca+2vecb-vecc) (veca - vecb) (veca - vecb-vecc)]

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-EXERCISE-6.10(M.C.Q)
  1. If vec(a)andvec(b)" are parallel vectors, then "[vec(a)vec(b)vec(c)]" ...

    Text Solution

    |

  2. If a vector vec(alpha) lies in the plane of vec(beta)andvec(gamma), th...

    Text Solution

    |

  3. If veca.vecb=vecb.vecc=vecc.veca=0 ,then the value of |[veca,vecb,v...

    Text Solution

    |

  4. If vec(a),vec(b),vec(c) are three unit vectors such that vec(a) is per...

    Text Solution

    |

  5. If [veca, vecb, vecc]=1 then the value of (veca.(vecbxxvecc))/((ve...

    Text Solution

    |

  6. The volume of the parallelepiped with its edges represented by the vec...

    Text Solution

    |

  7. If |veca|=2, |vecb|=7 and vecaxxvecb=3hati-2hatj+6hatk find the angle ...

    Text Solution

    |

  8. If veca=hati+hatj+hatk,vecb=hati+hatj, vecc= veci and (vecaxxvec...

    Text Solution

    |

  9. If veca,vecb, vecc are three non-coplanar vectors such that vecax...

    Text Solution

    |

  10. If vec(a),vec(b),vec(c) are three non-coplanar vectors such that vec(a...

    Text Solution

    |

  11. If the volume of the parallelpiped with vec(a)xxvec(b),vec(b)xxvec(c),...

    Text Solution

    |

  12. Consider the vectors, vec(a),vec(b),vec(c),vec(d) such that (vec(a)xxv...

    Text Solution

    |

  13. if (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) where veca,vecb,vecc ar...

    Text Solution

    |

  14. If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=hat(i)+2hat(j)-5hat(k),vec(c)=...

    Text Solution

    |

  15. The angle between the lines (x-2)/(3)=(y+1)/(-2),z=2and(x-1)/(1)=(2y+3...

    Text Solution

    |

  16. If the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2)" lies in the plane "x+3y-az...

    Text Solution

    |

  17. The angle between the line vecr=(hati+2hatj-3hatk)+t(2hati+hatj-2hatk)...

    Text Solution

    |

  18. The coordinates of the point where the line vecr=(6hati-hatj-3hatk)+...

    Text Solution

    |

  19. Distance from the origin to the plane 3x - 6y + 2z + 7 = 0 is

    Text Solution

    |

  20. The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z +...

    Text Solution

    |