Home
Class 12
MATHS
If a, b and c are any three vectors and ...

If a, b and c are any three vectors and their inverse are `a^(-1), b^(-1) and c^(-1) and [a b c]ne0`, then `[a^(-1) b^(-1) c^(-1)]` will be

A

zero

B

one

C

non-zero

D

[a b c]

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos
  • PRODUCT OF VECTORS

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

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

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

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

Similar Questions

Explore conceptually related problems

Let a,b,c be the three vectors such that a.(b+c)=b.(c+a)=c.(a+b)=0 and |a|=1,|b|=4,|c|=8, then |a+b+c|=

Suppose a, b, c are three vectors such that a+b+c=0, abs(a)=abs(b)=1" and "a*b+b*c-c*a=-3//2," then "abs(c)= ________

a, b, c are three vectors, such that a+b+c=0 |a|=1, |b|=2, |c|=3, then a*b+b*c+c*a is equal to

Let A=[[1,1,2] , [-1,1,-1] , [1,-1,2]] B is the inverse matrix of A and C is the inverse matrix of B. If b_(ij) and c_(ij) are the general terms of B and C then the value of c_(12) b_(32) equals

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. A force of magnitude 6 acts along the vector (9, 6, -2) and passes thr...

    Text Solution

    |

  2. A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector...

    Text Solution

    |

  3. If a, b and c are any three vectors and their inverse are a^(-1), b^(-...

    Text Solution

    |

  4. If a, b and c are three non-coplanar vectors, then find the value of (...

    Text Solution

    |

  5. atimes(btimesc) is coplanar with

    Text Solution

    |

  6. If u=hat(i)(atimeshat(i))+hat(j)(atimeshat(j))+hat(k)(atimeshat(k)), t...

    Text Solution

    |

  7. If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat...

    Text Solution

    |

  8. If atimes(btimesc)=0, then

    Text Solution

    |

  9. A vectors which makes equal angles with the vectors 1/3(hati - 2hatj ...

    Text Solution

    |

  10. [Find by vector method the horizontal force and the force inclined at ...

    Text Solution

    |

  11. If x+y+z=0, |x|=|y|=|z|=2 and theta is angle between y and z, then the...

    Text Solution

    |

  12. The values of x for which the angle between the vectors veca = xhati -...

    Text Solution

    |

  13. If a, b and c are non-coplanar vectors and d=lambdaa+mub+nuc, then lam...

    Text Solution

    |

  14. If the vectors 3 vec p + vec q; 5 vec p - 3 vecq and 2 vec p + vec q; ...

    Text Solution

    |

  15. Let vec u=hat i+hat j,vec v=hat i-hat j and vec w=hat i+2 hat j+3hat k...

    Text Solution

    |

  16. Given a parallelogram ABCD. If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| ...

    Text Solution

    |

  17. For two particular vectors vec A and vec B it is known that vec A xx ...

    Text Solution

    |

  18. For some non zero vector barV, if the sum of bar V and the vector obta...

    Text Solution

    |

  19. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

    Text Solution

    |

  20. Given an equilateral triangle ABC with side length equal to 'a'. Let M...

    Text Solution

    |