Home
Class 11
MATHS
The volume of (in cubic units) of the te...

The volume of (in cubic units) of the tetrahedron with edges I + j + k, I - j + k and I + 2j - k is

A

4

B

`2//3`

C

`1//6`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE -II|100 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|6 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

The vector area of the triangle with vertices I + j + k, I + j + 2k, I + 2j + k is

Let a = 2hat(i) - 3hat(j) + 4hat(k), b = hat(i) + 2hat(j) - 2hat(k) and c = 3hat(i) - hat(j) + hat(k) . The valume (in cubic units of the parallelopiped having a + b + c, a - b + c and a + b -c as coterminus edges is

The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j + 4k, 4 (-I + j + k) is

The volume of the parallelopiped with edges 2i - 4j + 5k, I - j + k, 3i - 5j + 2k is -8

If the volume of the parallelopiped with eoterminus edges 4i + 5j + k, - j + k and 3i + 9j + pk is 34 cubic units, then the negative value of p =

[I - j j - k k - i] =

The volume of parallelopiped with edges I, I + j, I + j + k is

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE-I
  1. The volume of a parallelopiped with coterminous edges bari+xbarj-x^(2)...

    Text Solution

    |

  2. If the volume of tetrahedron with edges bari+barj-bark,bari+abarj+bark...

    Text Solution

    |

  3. The volume of (in cubic units) of the tetrahedron with edges I + j + k...

    Text Solution

    |

  4. If the vertices of a tetrahedron have the P.V.'s bar0, bari + barj, 2b...

    Text Solution

    |

  5. bari,barj,bark is a right handed system of vectors and bara=2bari-25ba...

    Text Solution

    |

  6. baraxx(barbxxbarc)+barbxx(barcxxbara)+barcxx(baraxxbarb)=

    Text Solution

    |

  7. baraxx(barbxxbarc) is parallel to barb then

    Text Solution

    |

  8. baraxx{baraxx(baraxxbarb)}=

    Text Solution

    |

  9. If bara,barb,barc are any three vectors such that (bara+ barb) . barc ...

    Text Solution

    |

  10. If bara, barb, barc are any three vectors then (baraxxbarb)xxbarc is a...

    Text Solution

    |

  11. (barbxxbarc)xx(barcxxbara)=

    Text Solution

    |

  12. (baraxxbarb)xx(barbxxbarc)=

    Text Solution

    |

  13. (baraxxbari)xxbari +(baraxxbarj)xxbarj+(baraxxbark)xxbark=

    Text Solution

    |

  14. If bara=2bari+3barj-bark,barb=-bari+2barj-4bark, barc=bari+barj+bark t...

    Text Solution

    |

  15. If bara and barb are unit vectors, then the vector ( bara + barb) xx (...

    Text Solution

    |

  16. If bara= 2bari+barj-3bark, barb = bari-2barj+bark, barc = -bari+barj-4...

    Text Solution

    |

  17. If (baraxxbarb)xx(barcxxbard)=lamdabarc+μbard then lamda,mu=

    Text Solution

    |

  18. [(baraxxbarb)xx(baraxxbarc)].bard=k[bara barb barc] then k=

    Text Solution

    |

  19. If bara,barb,barc,bard are unit co-planar vectors then abs((baraxxbarb...

    Text Solution

    |

  20. If bara, barb, barc, bard, bare are co-planar vectors then {(baraxxbar...

    Text Solution

    |