Home
Class 12
MATHS
(a + b) xx c + (b + c) xx a + (c + a) xx...

`(a + b) xx c + (b + c) xx a + (c + a) xx b` =

A

0

B

`- [a b c]`

C

2 [a b c]

D

[a b c]

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
DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If a.i = 4 then (a . j) xx (2j - 3k) =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Let a,b and C be three non - coplanar vectors and let p,q and r be the...

    Text Solution

    |

  11. If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar t...

    Text Solution

    |

  12. If the vectors 2i - j + k, I + mj. I + j + k are coplannar then the va...

    Text Solution

    |

  13. If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k ar...

    Text Solution

    |

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

    Text Solution

    |

  15. If I + j + k, I - j, I + 2j + ak are coplanar then a is

    Text Solution

    |

  16. If 3i + 3j + sqrt(3) k, I + k, sqrt(3) I + sqrt(3) lambda k are coplan...

    Text Solution

    |

  17. If a,b,c are non-coplanar vectors and lambda is a real number, then th...

    Text Solution

    |

  18. Let a = I + j + k, b = I - j + 2k and c = xi + (x - 2) j - k. If the v...

    Text Solution

    |

  19. Let a = I - 2j + 3k, b = 2i + 3j - k and c = lambda I + j + (2 lambda ...

    Text Solution

    |

  20. If the vectors ai + j + k, I + bj + k, I + j + ck (a != b, c != 1) are...

    Text Solution

    |