Home
Class 12
MATHS
A parallelepiped is formed by planes dra...

A parallelepiped is formed by planes drawn parallel to coordinate axes through the points A=(1,2,3) and B=(9,8,5). The volume of that parallelepiped is equal to (in cubic units)

A

`192`

B

`48`

C

`32`

D

`96`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|35 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos
  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Planes are drawn parallel to the coordinate planes through the points (1,2,3) and (3,-4,-5). Find the lengths of the edges of the parallelopiped so formed.

Planes are drawn parallel to the coordinate planes through the points (1, 2,3) and (3, -4, -5). Find th lengths of the edges of the parallelopiped so formed.

Planes are drawn parallel to the coordinate planes through the points (3,0,-1) and (-2,5,4). Find the lengths of the edges of he parallelepiped so formed.

A parallelepiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7), parallel to the coordinate lanes. The length of a diagonal of the parallelepiped is a. 7 b. sqrt(38) c. sqrt(155) d. none of these

A parallelopiped is formed by planes drawn through the points (1,2,3) and (9,8,5) parallel to the coordinate planes. The length of its diagonal is (A) 2sqrt(14) units (B) 2sqrt(26) units (C) 6sqrt(3) units (D) 2sqrt(21) units

Planes are drawn parallel to the coordinate planes through the point P(x_1, y_1,\ z_1) and Q(x_2, y_2, z_2) . Find the length of the edges of the parallelopiped so formed.

A parallelopied is formed by planes drawn through the points (2, 4, 5) and (5, 9, 7) parallel to the coordinate planes. The length of the diagonal of parallelopiped is

A rectangular parallelepiped is formed by planes drawn through the points (2,3,5) and (5,9,7) parallel to the coordinate planes. The length of a diagonal of the parallelepiped is

Aparallelopiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7) parallel to the coordinate planes. The length of the diagonal of the parallelopiped is ……

If a parallelopiped is formed by planes drawn through the points (2, 5, 3) and (6, 7, 9) parallel to the coordinate planes, then the length of its diagonal is

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

    Text Solution

    |

  2. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  3. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  4. The angle between the lines whose directionn cosines are given by 2l-m...

    Text Solution

    |

  5. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  6. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |

  7. Find the perpendicular distance of a corner of a cube of unit side len...

    Text Solution

    |

  8. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

    Text Solution

    |

  9. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

    Text Solution

    |

  10. A parallelepiped is formed by planes drawn parallel to coordinate axes...

    Text Solution

    |

  11. Let a,b,c be three non-coplanar vectors and d be a non-zerro vector, w...

    Text Solution

    |

  12. If alpha(axxb)+beta(bxxc)+gamma(cxxa)=0, then

    Text Solution

    |

  13. Let area of faces triangleOAB=lambda1, triangleOAC=lambda2, triangleOB...

    Text Solution

    |

  14. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

    Text Solution

    |

  15. The shortest distance between a diagonal of a unit cube and the edge s...

    Text Solution

    |

  16. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  17. If the two adjacent sides of two rectangles are represented by vecto...

    Text Solution

    |

  18. Let veca,vec b,vec c are three vectors along the adjacent edges ofa t...

    Text Solution

    |

  19. If the angle between the vectors vec(a)=hat(i)+(cos x)hat(j)+hat(k) a...

    Text Solution

    |

  20. If position vectors of the points A, B and C are a, b and c respectiv...

    Text Solution

    |