Home
Class 12
MATHS
If a,b are vectors of lengths a,b respec...

If a,b are vectors of lengths a,b respectively then `((a)/(a^(2)) - (b)/(b^(2)))^(2)` =

A

`((a + b)/(ab))^(2)`

B

`((a - b)/(ab))^(2)`

C

`((a + b)/(ab))`

D

`((a - b)/(ab))`

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 1B Cross Product of Vectors|73 Videos
  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C (Triple product of Vectors|112 Videos
  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 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,b, are two vectors of lengths 2,1 respectively and |a - b| = sqrt(3) then (a,b) =

If a,b,c are vector of length 4,4,5 respectively and a,b,c are perpendicular to b+ c , c + a, a+ b respectively, then |a + b + c| =

If a,b and c are vectors with magnitudes 2,3 and 4 respectively then the least upper bound of |a - b|^(2) + |b - c|^(2 )+ |c-a|^(2) among the given values is

If a, b and c are three vectors qith magnitudes 1, 1 and 2 respectively and axx(axxc)+b=0_(') then the angle between a and c is

(a + b)^2 - (a - b)^2 =

(a - b)^2 - (a + b)^2 = ___

If a and b are unit vectors such that |a xx b| = a.b , then |a + b|^(2) =

bar(a), bar(b), bar(c) are three vectors of which every pair is non-collinear. If the vectors bar(a)+2bar(b) and bar(b)+3bar(c) are collinear with bar(c) and bar(a) respectively, then bar(a)+2bar(b)+6bar(c)=

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
  1. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

    Text Solution

    |

  2. Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a ...

    Text Solution

    |

  3. If a,b are vectors of lengths a,b respectively then ((a)/(a^(2)) - (b)...

    Text Solution

    |

  4. If a.b = 0 and a + b makes an angle of 30^(@) with a, then

    Text Solution

    |

  5. If a,b,c are three mutally perpendicular vectors such that |a| = |b|...

    Text Solution

    |

  6. If three unit vectors a,b,c satisfy a + b + c = 0 then the angle betwe...

    Text Solution

    |

  7. In the parallelogram ABCD, overline(AC)^(2)- overline(BD)^(2) =

    Text Solution

    |

  8. In the parallelogram ABCD, overline(AD)^(2) - overline(AB)^(2) =

    Text Solution

    |

  9. If a,b are unit vectors such that the vector a + 3b is perpendicular t...

    Text Solution

    |

  10. P.T the smaller angle theta between any two diagonals of a cube is giv...

    Text Solution

    |

  11. The angle between a diagonal of a cube and the diagonal of a face of t...

    Text Solution

    |

  12. The cartesian equation of the plane passing through A and perpendicula...

    Text Solution

    |

  13. The cartesian equation of the plane passing through A and perpendicula...

    Text Solution

    |

  14. If A = (1,3, - 5) and B = (3,5, - 3) then the vector equation of the p...

    Text Solution

    |

  15. The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (...

    Text Solution

    |

  16. The angle between the planes r. (2i - j + 2k) = 3 and r. (3i - 6j + 2k...

    Text Solution

    |

  17. The angle between the lies r = (2i - 3j + k) + lambda (I + 4j + 3k) an...

    Text Solution

    |

  18. The distance from the origin to the plane passing through A and perpen...

    Text Solution

    |

  19. The vector equation of the sphere with centre 3i + 2j - 5k and radius ...

    Text Solution

    |

  20. The centre and radius of the sphere r^(2) - 2r. (3i + 4j - 5k) + 1 = 0...

    Text Solution

    |