Home
Class 12
MATHS
If 2bara+barb=3barc, then A divides BC i...

If `2bara+barb=3barc,` then A divides BC in the ratio

A

`3:1` externally

B

`3:1` internally

C

`1:3` externally

D

`1:3` internally

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|79 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

lf bara· (barb xx barc) = 3 , then

If bara barb barc are three nonzero vectors no two of which are collinear, bara+2barb is collinear with barc and barb+bar3c is collinear with bara then |bara+2barb+6barc| will be equal to

bara & barb be two vectors such that |a|=1,|b|=4 & bara.barb=2 . If barc=(2baraxxbarb)-3barb , then which of the following is/are correct?

If bara,barb barc are three vectors such that bara+barb+barc=0 , where abs(bara)=1,abs(barb)=2,abs(barc)=3 then : bara.barb+barb.barc+barc.bara =

If bara,barb,barc are three vectors, then [bara,barb,barc] is not equal to

If [barabarb barc] = 3 , then the volume (in cu. u.) of the parallelepiped with 2bara + barb, 2barb + barc and 2barc + bara as coterminus edges is

The position vectors of the point which divides internally in the ratio 2:3 the join of the points 2bara-3barb and 3bara-2barb , is

If bara,barb,barc are three non-zero vectors which are pairwise non-collinear. If bara+3barb is collinear with barc and barb+2barc is collinear with bara , then bara+3barb+6barc is

If bara, barb,barc are non-coplanar vectors, then (bara+barb+barc).(bara+barb)xx(bara+barc)=

TARGET PUBLICATION-VECTORS-Critical Thinking
  1. If bar(OA)=overset(^)i+3overset(^)j-2overset(^)k and bar(OB)=3overset(...

    Text Solution

    |

  2. bara,barb are position vectors of points A and B. If P divides AB in t...

    Text Solution

    |

  3. If 2bara+barb=3barc, then A divides BC in the ratio

    Text Solution

    |

  4. In DeltaABC, P is the mid point of BC,Q divides CA internally in the r...

    Text Solution

    |

  5. If overset(to)(a) =hat(i) - hat(k) , overset(to)(b) = x hat(i) + ...

    Text Solution

    |

  6. If the points (1,1,2),(2,1,p),(1,0,3) and (2,2,0) are co-planar then ...

    Text Solution

    |

  7. If the points A, B, C and D with position vectors overset(^)i+overset(...

    Text Solution

    |

  8. If aoverset(^)i+overset(^)j+overset(^)k,overset(^)i-boverset(^)j+overs...

    Text Solution

    |

  9. If the given vectors (-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac) and (a^2+a...

    Text Solution

    |

  10. If bara,barb,barc are non-zero, non collinear vectors, then the vector...

    Text Solution

    |

  11. Given vectors bara,barb,barc such that bara.(barbxxbarc)=lambda!=0 the...

    Text Solution

    |

  12. For any three vectors bara,barb and barc,(bara-barb)[(barb+barc)xx(bar...

    Text Solution

    |

  13. If bara,barb and barc are three non-coplanar vectors, then : (bara + b...

    Text Solution

    |

  14. If bar r=l(bar b xx bar c)+m(bar c xx bar a)+n(bar a xx bar b) and [...

    Text Solution

    |

  15. The volume of parallelopiped with vector bara+2barb-barc,bara-barb and...

    Text Solution

    |

  16. If the volume of parallelopiped with coterminus edges -poverset(^)i+5k...

    Text Solution

    |

  17. If the volumes of tetrahearon where vertices (1,2,0),(2,0,4),(-1,2,0) ...

    Text Solution

    |

  18. If D is the mid -point of side AB of DeltaABC, then bar(AB) + bar(BC)...

    Text Solution

    |

  19. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  20. If G and Gprime are the centroids of the triangle ABC and AprimeBprime...

    Text Solution

    |