Home
Class 12
MATHS
If A xx(BxxC)=Bxx(CxxA) and [ABC] = 0, t...

If `A xx(BxxC)=Bxx(CxxA)` and [ABC] = 0, then `A xx(BxxC)` is equal to

A

0

B

`AxxB`

C

`BxxC`

D

`CxxA`

Text Solution

Verified by Experts

The correct Answer is:
A
`because Axx(BxxC)=Bxx(CxxA)`
`rArr (A.C)B-(A.B)C=(B.A)C-B.C)A`
`rArr (B.C)A+(A.C)B-(A.B+B.A)C=0`
`therefore B.C=0,A.C=0,A.B=0`
`rArr B bot C,A bot C,A bot B `
`Axx(BxxC)=(A.C)B-(A.B)C=(0)B-(0)C=0`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 01

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

  • PRACTICE SET 03

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|49 Videos

Similar Questions

Explore conceptually related problems

If alpha=x(a xxb)+y(b xxc)+z(cxxa) and [abc]=(1)/(8) , then x+y+z is equal to

If a+2b+3c=0, then a xx b+b xx c+c xx a is equal to

What is 0.09 xx 7.3 equal to ?

If 4.75 xx 0.7 = 3.325, then 475 xx 0.7 is equal to:

[bxxc" "cxxa" "axxb] is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 02-Paper 2 (Mathematics )
  1. A vertex of common graph of inequalities 2x+y ge 2 and x-y le 3 , is

    Text Solution

    |

  2. The derivative of sin^2x with respect to cos^2x is equal to....

    Text Solution

    |

  3. If A xx(BxxC)=Bxx(CxxA) and [ABC] = 0, then A xx(BxxC) is equal to

    Text Solution

    |

  4. int cos (loge x)dx is equal to

    Text Solution

    |

  5. The switching function ffor switching network is

    Text Solution

    |

  6. The difference of the slopes of the lines given by the equation x^2(se...

    Text Solution

    |

  7. Let p ^^ (q vv r)=(p ^^ q) vv(p ^^ r). Then this law is known as

    Text Solution

    |

  8. If |a|=|b|=1 and |a+b|=sqrt(3), then the value of (3a-4b)(2b+5b) is

    Text Solution

    |

  9. A particle moves in a straight line so that s=sqrt(t), then its accele...

    Text Solution

    |

  10. Le t f(x) ={{:((sinpix)/(5x)",",xne0),(" "k",",x=0):} if (x) is contin...

    Text Solution

    |

  11. lim(xto0)(loge(1+x))/(3^x-1) is equal to

    Text Solution

    |

  12. The differential equation for which sin^(-1) x + sin^(-1) y = c is giv...

    Text Solution

    |

  13. The probability that in a family of 5 members,exactly two members have...

    Text Solution

    |

  14. The solution of y'-y = 1 , y(0)=-1 is given by y(x) =

    Text Solution

    |

  15. There is a group of 265 persons who like either singing or dancing or ...

    Text Solution

    |

  16. Let R be a relation on N defined by R = {(x, y): 2x + y = 10}, then do...

    Text Solution

    |

  17. The period of sin^2theta is

    Text Solution

    |

  18. Six numbers are in AP such that their sum is 3 . The first term is 4 ...

    Text Solution

    |

  19. The value of k such that the lines 2x-3y+k=0,3x-4y-13=0 and 8x-11y-33=...

    Text Solution

    |

  20. If one end of a diameter of the circle x^(2)+y^(2)-4x-6y+11=0 is (3, ...

    Text Solution

    |