Home
Class 12
MATHS
The volume of the parallelopiped whose s...

The volume of the parallelopiped whose sides ae OA = `(lambda + 2) i + (lambda + 2) (lambda + 1) j + k. OB (lambda + 3) I + (lambda + 2) (lambda + 3) j + k` and OC = `(lambda + 4) i + (lambda + 3) (lambda + 4) j + k` is

A

`2 lambda`

B

`3 lambda`

C

`4 lambda`

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -A|13 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -B|9 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B Cross Product of Vectors|73 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

Similar Questions

Explore conceptually related problems

The volume of the parallelopiped whose sides are OA = (lambda + 1) i + lambda (lambda + 1) j + k , OB = (lambda + 2)i + (lambda + 1) (lambda + 2) j + k, OC = (lambda + 3) I + (lambda + 2) (lambda + 3) j + k is

The volume of the parallelopiped whose coterminal edges are 2i - 3j + 4k, I + 2j - 2k, 3i - j + k is

If (a - lambda b) . (b - 2c) xx (c + 3a) = 0 then lambda =

If I - 2j, 3j + k and lambda I + 3j are coplanar. Then lambda =

The period of the function f(x) = lambda| sin x| + lambda^(2) | cos x| + g (lambda) is (lambdai)/(2) , if lambda is

If a = I + j + k, b = i+ j, c = I and (a xx b) xx c = lambda a + mu b , then lambda + mu =

The d.r.s of two perpendicular lines are 1,-3,5 and lambda,1 + lambda,2 + lambda then lambda is

The d.r's of two parallel lines are 4, - 3, -1 and lambda + mu, 1 + mu,2 . Then (lambda,mu) is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

    Text Solution

    |

  2. The volume of the parallelopiped whose sides are OA = (lambda + 1) i +...

    Text Solution

    |

  3. The volume of the parallelopiped whose sides ae OA = (lambda + 2) i + ...

    Text Solution

    |

  4. Let Oa,Ob,OC be the co-terminal edges of a rectangular parallelopiped ...

    Text Solution

    |

  5. The volume of the tetrabodron with vertices at (0,0,0), (1,0,0),(0,1,0...

    Text Solution

    |

  6. The volume of the tetrahedron formed by (1,2,3), (4,3,2), (5,2,7),(6,4...

    Text Solution

    |

  7. The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j ...

    Text Solution

    |

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

    Text Solution

    |

  9. If a,b,c are noncoplanner vectors then (a.(b xx c))/((c xx a). B) + (b...

    Text Solution

    |

  10. [ 2+6 -2+7 8-10] =

    Text Solution

    |

  11. If (a - lambda b) . (b - 2c) xx (c + 3a) = 0 then lambda =

    Text Solution

    |

  12. If a.i = 4 then (a . j) xx (2j - 3k) =

    Text Solution

    |

  13. {a. (b xx i)} + {a. (b xx j)} j + {a . (b xx k)} k =

    Text Solution

    |

  14. (a + b) xx c + (b + c) xx a + (c + a) xx b =

    Text Solution

    |

  15. (a - b) . (b - c) xx (c - a) =

    Text Solution

    |

  16. C. (b + c) xx (a + b + c) =

    Text Solution

    |

  17. If u,v,w are three nonceplannar vectors then (u + v - w), (u - v) xx (...

    Text Solution

    |

  18. If a,b,c are three vectors such that [abc]=5, then the value of [a×bb×...

    Text Solution

    |

  19. If a,b,c are linearly independent, then ([2a + b 2b + c. 2c + a])/([a ...

    Text Solution

    |

  20. If a,b,c are linearly independent, ((a + 2b). (2b + c) xx (5c + a))/(a...

    Text Solution

    |