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

`(a.(b xx c))/(b.(c xx a))+(b.(a x b))/(a. (b xx c))` is equal to

A

1

B

2

C

0

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
B
Now, `(a*(bxxc))/(b*(cxxa))+(b*(axxb))/(a*(axxc))=([abc])/(["bca"])+([bab])/(["abc"])`
`=1+0=1" "[because[bab]=0]`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise (VECTORS ) Exercise 2 ( Topical problems )|88 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|20 Videos

Similar Questions

Explore conceptually related problems

The value of ((x^(a))/(x^(b)))^(a+b) xx ((x^(b))/(x^(c)))^(b+c) xx ((x^(c))/(x^(a)))^(c + a) is equal to

a*((b times c) times (a+(b times c)) is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-VECTORS -( MHT CET Corner)
  1. If the vectors a=hat(i)+a hat(j)+a^(2) hat(k), b=hat(i)+b hat(j)+b^(2)...

    Text Solution

    |

  2. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

    Text Solution

    |

  3. (a.(b xx c))/(b.(c xx a))+(b.(a x b))/(a. (b xx c)) is equal to

    Text Solution

    |

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

    Text Solution

    |

  5. If a is perpedicular to b and c|a| = 2, |b| = 3 |c| = 4 and the angl...

    Text Solution

    |

  6. If bar a,bar b and bar c are perpendicular ,bar c+bar a, bar b+bar c ...

    Text Solution

    |

  7. If vector hat(i)+hat(j)+hat(k), hat(i)-hat(j)+hat(k) and 2hat(i)+3hat(...

    Text Solution

    |

  8. Given a bot b, |a|=1 and if (a+3b).(2a-b)=-10, then |b| is equal to

    Text Solution

    |

  9. [(a+b,b+c,c+a)]=[(a,b,c)], then

    Text Solution

    |

  10. Area of rhombus is ......., where diagonals are a=2hat(i)-3hat(j)+5hat...

    Text Solution

    |

  11. Let A B C D be a p[arallelogram whose diagonals intersect at P and ...

    Text Solution

    |

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

    Text Solution

    |

  13. M and N are the mid-points of the diagonals AC and BD respectively of ...

    Text Solution

    |

  14. If G(g), H(h) and P(p) are centroid' orthocentre and circumcentre of a...

    Text Solution

    |

  15. If a=hat(i)+hat(j)+hat(k), b=2hat(i)+lambda hat(j)+hat(k), c=hat(i)-ha...

    Text Solution

    |

  16. If the position vectors of the vertices A, B and C are 6hat(i), 6hat(j...

    Text Solution

    |

  17. If three vectors 2hat(i)-hat(j)-hat(k), hat(i)+2hat(j)-3hat(k) and 3ha...

    Text Solution

    |

  18. The vector perpendicular to the vectors 4hat(i)-hat(j)+3hat(k) and -2h...

    Text Solution

    |

  19. If in a Delta ABC, O and O' are the incentre and orthocentre respectiv...

    Text Solution

    |

  20. If a+b+c=0 and |a|=5, |b|=3 and |c|=7, then angle between a and b is

    Text Solution

    |