Home
Class 12
MATHS
If the vectors 2overset(^)i-3overset(^)j...

If the vectors `2overset(^)i-3overset(^)j,overset(^)i+overset(^)j-overset(^)k and 3overset(^)i-overset(^)k` form three concurrent edges of a parallelopiped, then the volume of parallelopiped is

A

8

B

10

C

4

D

14

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Critical Thinking|35 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

If the vectors overset(^)i+2overset(^)k,overset(^)j+overset(^)k and lambda overset(^)i+mu overset(^)j collinear, then

[overset(^)ioverset(^)koverset(^)j]+[overset(^)koverset(^)joverset(^)i]+[overset(^)joverset(^)koverset(^)i]

If bara=-3overset(^)i+7overset(^)j+5overset(^)k,barb=-3overset(^)i+7overset(^)j-3overset(^)k and c=7overset(^)i-5overset(^)j-3overset(^)k are the three coterminus edges of a parallelopiped, then its volume is

If the vectors 2overset(^)i-overset(^)j+overset(^)k,overset(^)i+2overset(^)j-3overset(^)k and 3overset(^)i+lambdaoverset(^)j+5overset(^)k be coplanar, then lambda=

If the vectors overset(^)i+3overset(^)j-2overset(^)k,2overset(^)i-overset(^)j+4k and 3overset(^)i+2overset(^)j+xoverset(^)k are coplanar, then the value of x is

If the vectors 3overset(^)i+overset(^)j-5overset(^)k and aoverset(^)i+boverset(^)j-15overset(^)k are collinear, if

If vectors overset(^)i+overset(^)j+overset(^)k,overset(^)j-overset(^)i,overset(^)i+2overset(^)j+aoverset(^)k are coplanar, then a is equal to

If the vectors -overset(^)i+3overset(^)j+2overset(^)k,-4overset(^)i+2overset(^)j-2overset(^)kand 5overset(^)i+lambdaoverset(^)j+muoverset(^)k are collinear then

If the vectors 2overset(^)i+2overset(^)j+6overset(^)k,2overset(^)i+lambdaoverset(^)j+6overset(^)k,2overset(^)i-3overset(^)j+overset(^)k are coplanar, then the value of lambda is

The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(^)i+33overset(^)j+36overset(^)k and 47overset(^)i+50overset(^)j+53 overset(^)k are

TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. If bara=(1)/(sqrt10)(3overset(^)i+overset(^)k),barb=1/7(2overset(^)i+3...

    Text Solution

    |

  2. If barp=(barbxxbarc)/(bara" "barb" "barc),barq=(barcxxbara)/(bara" "ba...

    Text Solution

    |

  3. If vecu, vecv, vecw are three non-coplanar vectors, the (vecu+vecv-vec...

    Text Solution

    |

  4. If bara,barb,barc are three non-coplanar vectors and barp,barq,barr ar...

    Text Solution

    |

  5. If a, b and c are non-coplanar vectors and d=lambdaa+mub+nuc, then lam...

    Text Solution

    |

  6. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  7. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  8. If the vectors 2overset(^)i-3overset(^)j,overset(^)i+overset(^)j-overs...

    Text Solution

    |

  9. The volumes of the parallelopiped whose edges are represented by bara=...

    Text Solution

    |

  10. If the volume of the tetrahedron formed by the coterminus edges bara,b...

    Text Solution

    |

  11. The volume of a parallelopiped whose edges are represented by -12bar ...

    Text Solution

    |

  12. If the three co-terminous edges of a paralleloP1ped are represented by...

    Text Solution

    |

  13. If bara=2overset(^)i-3overset(^)j+5overset(^)k,barb=3overset(^)i-4over...

    Text Solution

    |

  14. The volume of a tetrahedron (in cubic units) whose vertices are 4overs...

    Text Solution

    |

  15. The vectors bar(AB)=3overset(^)i+5overset(^)j+4overset(^)k and bar(AC)...

    Text Solution

    |

  16. A(4,3,5),B(0,-2,2) and C(3,2,1) are three points. The coordinates of t...

    Text Solution

    |

  17. If 4veci+7vecj+8veck,2veci+3vecj+4veck and 2veci+5vecj+7vecj are the p...

    Text Solution

    |

  18. consider the points A,B,C and D with position vector 7veci-4vecj+7veck...

    Text Solution

    |

  19. In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec...

    Text Solution

    |

  20. Let bara=2overset(^)i+overset(^)j+overset(^)k,barb=overset(^)i+2overse...

    Text Solution

    |