Home
Class 12
MATHS
If x,y,z are non-zero real numbers, a = ...

If x,y,z are non-zero real numbers, a = xi + 2j, b = yi + 3k and c = xi + yi + zk are such that `a xx b` = zi - 3j + k then [a b c] =

A

10

B

9

C

6

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
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

If a = 2i + 2j + k, a.b = 14, a xx b = 3i + j - 8k then b =

If a = i- 2j + k, b = 2i + j - k, c = 4i + 4j + 3k then |(a xx b) xx c| =

If a = 2i + 3j - 4k, b = I + j + k and c = 4i + 2j + 3k, then |a xx (b xx c)| =

If a = 3i - 2j + k, b = 2i - 4j - 3k, c = -i + 2j + 2k then a + b + c =

If a = 2i + 3j + 6k, b = 3i - 6j + 2k, c = 6i + 2j - 3k then a xx b =

If a = I + j + k, b = 2i - 3j + k then a xx b is

If a = I + j - k, b = I - j + k, c = I - j - k then a xx (b xx c) =

If 13 a = 3i + 4j + 12k, 13b = 4i - 12j + 3k, 13 c = 12i + 3j - 4k then a xx b =

If a = 3i - 2j + k and b = i + 2j + 5k, then the unit vector along a - b is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If a is perpendicular to b and c, |a| = 2, |b| = 3, |c| = 4 and the an...

    Text Solution

    |

  2. If u,v,w are non-coplanar vectors and p,q are real numbers, then the e...

    Text Solution

    |

  3. If x,y,z are non-zero real numbers, a = xi + 2j, b = yi + 3k and c = x...

    Text Solution

    |

  4. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

    Text Solution

    |

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

    Text Solution

    |

  6. The volume of the parallelopiped whose coterminal edges are 2i - 3j +...

    Text Solution

    |

  7. The volume of the parallelopiped whose edges are represented by 2i - 3...

    Text Solution

    |

  8. The volume of the parallelopiped with edges (2, -3, 0), (1,1, - 1), (3...

    Text Solution

    |

  9. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. [ 2+6 -2+7 8-10] =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |