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

3

B

10

C

9

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SIA PUBLICATION|Exercise PROBLEMS|59 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

SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
  1. The Cerrtesian equation of the plane passing through the point (3,-2,-...

    Text Solution

    |

  2. The shortest distance between the skew lines overset(-)r=(hati+2hatj...

    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 a,b and c are vectors with magnitudes 2,3 and 4 respectively then t...

    Text Solution

    |

  5. The angle beween the lines hatr=(2hati-3hatj+hatk)+lambda (hati+4hatj+...

    Text Solution

    |

  6. If a, b and c are non-coplanar vectors and if d is such that d = (1)/(...

    Text Solution

    |

  7. Three non-zero non-collinear vectors a, b, c are such that a + 3b is c...

    Text Solution

    |

  8. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

    Text Solution

    |

  9. P,Q,R and four point with the position vectors 3i-4j+5k, -4i+5j+k and ...

    Text Solution

    |

  10. If veca ne vec0, vecb ne vec0, vecc ne vec0, veca xx vecb =vec0 and ve...

    Text Solution

    |

  11. The shortest distance between the lines r=3i+5j+7k +lambda (i+2j+k) an...

    Text Solution

    |

  12. A unit vector coplanar with i+j+3k and i+3j+k and perpendicular to i+j...

    Text Solution

    |

  13. If veca and vec(to)b are two non-zero perpendicular vectors, then a ve...

    Text Solution

    |

  14. vec(to)a=i+j-2h rArr sum {( a xx i) xx j}^(2) is equal to

    Text Solution

    |

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

    Text Solution

    |

  16. Let veca+i+2j+j, vecb=i-j+k, vecv=i+h-k. A vector in the plane of veca...

    Text Solution

    |

  17. The point of intersection of the lines l(1) : r(t)=(i-6j+2k) +t(i+2j...

    Text Solution

    |

  18. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

    Text Solution

    |

  19. If p^(th), q^(th), r^(th) terms of a geometric progression are the pos...

    Text Solution

    |

  20. The magnitude of the projection of the vector a=4i-3j+2k on the line w...

    Text Solution

    |