Home
Class 12
MATHS
Let G be the centroid of triangle\ A B ...

Let `G` be the centroid of triangle`\ A B Cdot` If ` vec A B= vec a ,\ vec A C= vec b ,` then the bisector ` vec A G ,` in terms of ` vec a\ a n d\ vec b` is `2/3( vec a+ vec b)` b. `1/6( vec a+ vec b)` c. `1/3( vec a+ vec b)` d. `1/2( vec a+ vec b)1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF MATRICES

    RD SHARMA ENGLISH|Exercise All Questions|410 Videos
  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

Let G be the centroid of Delta ABC , If vec(AB) = vec a , vec(AC) = vec b, then the vec(AG), in terms of vec a and vec b, is

Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27 and | vec a|=2| vec b|dot

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=13\ a n d\ | vec a|=2| vec b|

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=8\ a n d\ | vec a|=8| vec b|

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=12\ a n d\ | vec a|=2| vec b|

If G is the centroid of triangle A B C ,t h e n vec G A+ vec G B+ vec G C is equal to a. vec0 b. 3 vec G A c. 3 vec G B d. 3 vec G C

If two vectors vec a and vec b are such that | vec a|=2,| vec b|=1 and vec adot vec b=1 , find (3 vec a-5 vec b)dot(2 vec a+7 vec b)dot

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then

If vec a= vec b+ vec c , vec b X vecd= vec0 and vec c*vec d=0 then ( vec dx( vec ax vec d))/( vec d^2) is equal to (a) vec a (b) vec b (c) vec c (d) vec d

If vec a ,\ vec b ,\ vec c are three vectors such that vec a. vec b= vec a.\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Find a vector vec a of magnitude 5sqrt(2) making an angle of pi/4 wit...

    Text Solution

    |

  2. Write a unit vector in the direction of vec P Q ,\ w h e r e\ P\ a n ...

    Text Solution

    |

  3. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which...

    Text Solution

    |

  4. It | vec a|=4\ and-3lt=lambdalt=2, then write the range fo lambda |vec...

    Text Solution

    |

  5. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

    Text Solution

    |

  6. If in a "Delta"A B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3) the...

    Text Solution

    |

  7. If vec a ,\ vec b are the vectors forming consecutive sides of a reg...

    Text Solution

    |

  8. Evaluate int\tan^2x\dx

    Text Solution

    |

  9. If points A(60 hat i+3 hat j),\ B(40 hat i-8 hat j)a n d\ C(a hat i-52...

    Text Solution

    |

  10. If G is the intersection of diagonals of a parallelogram A B C D and O...

    Text Solution

    |

  11. The vector cosalpha\ cosbeta hat i+cosalpha\ sinbeta hat j+sinalpha ha...

    Text Solution

    |

  12. In a regular hexagon A B C D E F ,\ A vec B=a ,\ B vec C= vec b\ a n d...

    Text Solution

    |

  13. The vector equation of the plane passing through vec a ,\ vec b , ve...

    Text Solution

    |

  14. If O\ a n d\ O^(prime) are circumcentre and orthocentre of \ A B C ,\ ...

    Text Solution

    |

  15. If vec a ,\ vec b ,\ vec c and vec d are the position vectors of p...

    Text Solution

    |

  16. Let G be the centroid of triangle\ A B Cdot If vec A B= vec a ,\ ve...

    Text Solution

    |

  17. If A B C D E F is a regular hexagon, them vec A D+ vec E B+ vec F C e...

    Text Solution

    |

  18. The position vectors of the points A ,\ B ,\ C are 2 hat i+ hat j- hat...

    Text Solution

    |

  19. If three points A ,\ B ,\ a n d\ C have position vectors hat i+x hat ...

    Text Solution

    |

  20. A B C D isa parallelogram with A C\ a n d\ B D as diagonals. Then, ve...

    Text Solution

    |