Home
Class 12
MATHS
If a,b are unit vectors such that the ve...

If a,b are unit vectors such that the vector a + 3b is perpendicular to 7a - 5b then the angle between a and b is

A

`pi //2`

B

`pi // 3`

C

`pi // 4`

D

`pi // 6`

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

Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a - 4b are perpendicular to each other, then the angle between a and b is

If a,b,c are unit vectors satisfying the relation a + b+sqrt(3) c = 0 , then the angle between a and b is

If a,b,c are three unit vectors such that a xx (b xx c) = (1)/(2) b then the angles between a,b and a,c are

If a and b are unit vectors and a xx b = 1 , then the angle between a and b is

If a, b and c are non-zero vectors such that a and b not perpendicular to each other, then the vector r which is perpendicular to a and satisfying r xx b = cxx b is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1A
  1. In the parallelogram ABCD, overline(AC)^(2)- overline(BD)^(2) =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The centre and radius of the sphere 3x^(2) + 3y^(2) + 3z^(2) - 2x - 12...

    Text Solution

    |

  16. The equation of the sphere on the join of (3,4 , -2), (-2, -1, 0) as d...

    Text Solution

    |

  17. The centre of the sphere (r - 3i - 4j + 5k). (r - 21 + 3j - 4k) = 0 is

    Text Solution

    |

  18. Tae radius of the sphere (r - 2i + 3j - k). (r + 3i - j + 2k) = 0 is

    Text Solution

    |

  19. The work done by the force F = 2i - 3j + 2k in moving a particle from ...

    Text Solution

    |

  20. The force f = 2i + 2j - k acting at a = I - 2j + k is displaced to a u...

    Text Solution

    |