Home
Class 12
MATHS
Consider DeltaABC with A=(veca);B=(vecb)...

Consider `DeltaABC` with `A=(veca);B=(vecb) and C=(vecc).` If `vecb.(veca+vecc)=vecb.vecb+veca.vecc;|vecb-veca|=3;|vecc-vecb|=4` then the angle between the medians `AvecM and BvecD` is

A

`pi-cos^(-1)((1)/(5sqrt(13)))`

B

`pi-cos^(-1)((1)/(13sqrt(5)))`

C

`cos^(-1)((1)/(5sqrt(13)))`

D

`cos^(-1)((1)/(13sqrt(5)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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
ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. A rigid body rotates about an axis through the origin with an angular ...

    Text Solution

    |

  2. A rigid body rotates with constant angular velocity omega about the li...

    Text Solution

    |

  3. Consider DeltaABC with A=(veca);B=(vecb) and C=(vecc). If vecb.(veca+v...

    Text Solution

    |

  4. Given unit vectors m, n and p such that angle between m and n. Angle b...

    Text Solution

    |

  5. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

    Text Solution

    |

  6. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

    Text Solution

    |

  7. If vector vec i+ 2vec j + 2vec k is rotated through an angle of 90^@...

    Text Solution

    |

  8. 10 different vectors are lying on a plane out of which four are parall...

    Text Solution

    |

  9. If hat(a) is a unit vector and projection of x along hat(a) is 2 units...

    Text Solution

    |

  10. If veca, vecb and vecc are any three non-zero vectors, then the compon...

    Text Solution

    |

  11. The position vector of a point P is r=xhat(i)+yhat(j)+hat(k)z, where x...

    Text Solution

    |

  12. Let a,bgt0 and alpha=(hati)/(a)+(4hatj)/(b)+bhatk and beta=bhati+ahatj...

    Text Solution

    |

  13. If veca, vecb and vecc are any three vectors forming a linearly indepe...

    Text Solution

    |

  14. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  15. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

    Text Solution

    |

  16. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  17. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  18. Find the angle between the two lines whose direction cosines are given...

    Text Solution

    |

  19. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  20. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |