Home
Class 11
MATHS
In DeltaABC, " if " BC = a, CA = b and A...

In `DeltaABC, " if " BC = a, CA = b and AB = C, " then what is the value of " bar(AB).bar(AC)+bar(BC).bar(BA)+bar(CA).bar(CB)`?

Text Solution

Verified by Experts

The correct Answer is:
`1/2(a^(2)+b^(2)+c^(2))`
Promotional Banner

Topper's Solved these Questions

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|30 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE - II|71 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE-2.1 (LONG ANSWER QUESTIONS)|5 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

Similar Questions

Explore conceptually related problems

If AD, BE and CF are the medians of DeltaABC , then the value of bar(BC).bar(AD)+bar(CA).bar(BE)+bar(AB).bar(CF)=

If, in a right angled triangle ABC, the hypo tenus AB =p, then bar(AB).bar(AC)+bar(BC).bar(BA)+bar(CA).bar(CB) =

If bar(AD),bar(BE) and bar(CF) " are the medians of " DeltaABC , then find the value of bar(BC).bar(AD)+bar(CA).bar(BE)+bar(AB).bar(CF) .

ABC is an equitateral triangle of side 'a'. Then bar(AB).bar(BC)+bar(BC).bar(CA)+bar(CA).bar(AB) =

ABCDE is a pentagon then bar(AB)+bar(AE)+bar(BC)+bar(DC)+bar(ED)+bar(AC)=

ABCDEF is a regular hexagon. If bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(CE)=

ABCDEF is a regular hexagon. If bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(FA)=

ABCDEF is a regular hexagon. bar(AB)+bar(AC)+bar(AD)+bar(EA)+bar(FA)=

If ABCD is a parallelogram such that bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(AC), bar(BD) are

In the parallelogram if bar(AB)=bar(a) and bar(AD)=bar(d) then find bar(BD) .

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-ADDITIONAL EXERCISE
  1. If bare(1),bare(2) and bare(3) are mutually perpendicular unit vectors...

    Text Solution

    |

  2. If bara,barb,barc " are unit vectors such that " bara+barb+barc=bar0, ...

    Text Solution

    |

  3. If A = (1,-1,0), B=(1,2,1), C=(2,3,0) and D=(0,1,t). Be four points. ...

    Text Solution

    |

  4. bara,barb,barc are mutually perpendicular unit vectors and bard is a u...

    Text Solution

    |

  5. In the coordinate plane, A(1,y(0)) " is a point on the curve " y=2sq...

    Text Solution

    |

  6. If the vectros (cosx)bari +(sinx)barj and xbari+(sinx)barj are colline...

    Text Solution

    |

  7. Find the acute angle between the diagonals of a parallelogram whose ad...

    Text Solution

    |

  8. If bara = 3bari-4barj-bark, barb = 2bari + 3barj -6bark are diagonals...

    Text Solution

    |

  9. If the planes barr.(bari+barj-3bark) = 7 and barr.(bari -tbarj+bark) =...

    Text Solution

    |

  10. If bara,barb" and "bara-barb are unit vectors, then what is the angle ...

    Text Solution

    |

  11. In DeltaABC, " if " BC = a, CA = b and AB = C, " then what is the valu...

    Text Solution

    |

  12. If absbara = 3,absbarb =2 and theta " is angle between " bara and barb...

    Text Solution

    |

  13. If bara = xbari + ybari + zbark, then what are the value of x, y and z...

    Text Solution

    |

  14. If bara,barb,barc " are unit vectors, then find least value of " 2(ba...

    Text Solution

    |

  15. If bara " is perpendicular to " bari,barj & bark, " then find " bara.

    Text Solution

    |

  16. If bar(AD),bar(BE) and bar(CF) " are the medians of " DeltaABC, then f...

    Text Solution

    |

  17. If bara and barb are any two non-zero vectors, then find the angle bet...

    Text Solution

    |

  18. If bara and barb are non-zero vectors such that abs(bara+barb)^(2) = a...

    Text Solution

    |

  19. If bare(1),bare(2) and bare(3) are non-coplanar unit vectors and alp...

    Text Solution

    |

  20. In above problem, if cosalpha+cosbeta +cos gamma is minimum, then what...

    Text Solution

    |