Home
Class 12
MATHS
The volume of the parallelepiped with it...

The volume of the parallelepiped with its edges represented by the vectors `hat(i)+hat(j),hat(i)+2hat(j),hat(i)+hat(j)+pihat(k)` is

A

` (pi)/(2) `

B

` (pi)/(3) `

C

` (pi) `

D

` (pi)/(4) `

Text Solution

Verified by Experts

The correct Answer is:
c
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

Find the volume of the parallelepiped whose coterminous edges are represented by the vector -6hat(i)+14hat(j)+10hat(k),14hat(i)-10hat(j)-6hat(k),and2hat(i)+4hat(j)-2hat(k).

Find the volume of a parallelopiped with coterminous edges represented by the vectors 3 hat i + 4 hat j , 2 hat i + 3 hat j + 4 hat k and 5 hat k .

The volume (in cubic units) of the parallelopiped whose edges are represented by the vectors hat i + hat j , hat j + hat k and hat k + hat i is

Find the volume of the parallelepiped whose coterminus edges are given by the vectors hat i + 2 hat j + 3 hat k , 2 hat i - hat j - hat k and 3 hat i + 4 hat j + 2 hat k

The volume of the parallelepiped whose coterminus edges are 7hat(i)+lambdahat(j)-3hat(k),hat(i)+2hat(j)-hat(k)-3hat(i)+7hat(j)+5hat(k) is 90 cubic units. Find the value of lambda.

The volume of the parallelepiped whose edges are represented by -12 hati + lambda hat k , 3 hat j - hat k , 2hat I + hatj - 15 hat k is 546 cubic units. Find the value of lambda

The volume of the parallelepiped whose sides are given by bar(OA)=2hat(i)-3hat(j),bar(OB)=hat(i)+hat(j)-hat(k)andbar(OC)=3hat(i)-hat(k) is

Find the volume of a parallelopiped whose edges are represented by the vectors vec a = 2 hat i -3 hat j -4 hat k and vec b = hat i +2 hat j - hat k and vec c = 3 hat i + hat j + 2 hat k .

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-EXERCISE-6.10(M.C.Q)
  1. If vec(a),vec(b),vec(c) are three unit vectors such that vec(a) is per...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If direction cosines of a line are (1)/(c),(1)/(c),(1)/(c)," then. "

    Text Solution

    |

  19. The vector equation vec(r)=(hat(i)-2hat(j)-hat(k))+t(6hat(j)-hat(k)) r...

    Text Solution

    |

  20. If the distance of the point (1,1,1) from the origin is half of its di...

    Text Solution

    |