Home
Class 11
MATHS
Find the maximum value of abs(bara-bar...

Find the maximum value of
`abs(bara-barb)^(2)+abs(barb-barc)^(2)+ abs(barc-bara)^(2)`, subject to the condition that `bara,barb,barc` are unit vectors.

Promotional Banner

Topper's Solved these Questions

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EAXPLES|10 Videos
  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE-2.1 (VERY SHORT ANSWER QUESTIONS)|6 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

Suppose bara,barb,barc " be three unit vectors such that " abs(bara-barb)^(2) +abs(barb-barc)^(2)+abs(barc-bara)^(2) " is equal to 3. If " bara,barb,barc are equally inclined to each other, at an angle

If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(barb-barc)^(2) +abs(barc-bara)^(2) does not exceed

bara.barb^(1)+barb.barc^(1)+barc.bara^(1)=

(bara+2barb-barc).(bara-barb)xx(bara-barb-barc)=

barc.(barb+barc)xx(bara+barb+barc)=

Show that (bara+barb).(barb+barc)xx(barc+bara)=2[barabarbbarc]

If abs(bara)=1,abs(barb)=1,abs(barc)=2 and baraxx(baraxxbarc)+barb=bar0 then find the angle between bara and barc

If bara xx barb=barc and barbxx barc=bara , then

[bara barb barc]+[bara barc barb] =

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. Find the maximum value of abs(bara-barb)^(2)+abs(barb-barc)^(2)+ abs...

    Text Solution

    |

  2. If barmu =bara-barb, barv=bara+barb and absbara=absbarb, " then " barm...

    Text Solution

    |

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

    Text Solution

    |

  4. The angle made by the vector 2bari+3barj+6bark " with X-axis is " cos^...

    Text Solution

    |

  5. If bara,barb are two vectors of length 2, 1 respectively and abs(bara-...

    Text Solution

    |

  6. If absbara = 3, absbarb =4 and (bara,barb)=(2pi)/3 , " then the value ...

    Text Solution

    |

  7. Let bare(1) and bare(2) be unit vectors which include an angel theta....

    Text Solution

    |

  8. If bara+barb+barc =bar0 , " then " bara.bara+barb.barb+2(bara.barb)-ba...

    Text Solution

    |

  9. If absbara =5, absbarb =4, absbarc =3 and bara+barb+barc = bar0 ," the...

    Text Solution

    |

  10. If bara,barb,barc are three vectors of equal magnitude and angle betw...

    Text Solution

    |

  11. absbara=absbarb=absbarc=abs(bara+barb+barc)=1 and bara bot barb , (bar...

    Text Solution

    |

  12. If bara,barb,barc are three vector such that each is inclined at an a...

    Text Solution

    |

  13. The scalar product of the vector bari+barj+bark " with the unit vector...

    Text Solution

    |

  14. The angle between the vectors bara and barb " is " 60^(@). " The the a...

    Text Solution

    |

  15. The vectors barx and bary " satisfy " 2barx +bary =barp and barx+2bary...

    Text Solution

    |

  16. Let bara,barb,barc " be unit vectors and " barx=bara+barb+barc . " I...

    Text Solution

    |

  17. If abs(bara+barb)lt abs (bara-barb) " then the angle between " bara an...

    Text Solution

    |

  18. If a,b,c are p^(th),q^(th),r^(th) " terms of an H.P and " baru=(q-r...

    Text Solution

    |

  19. If bara,barb,barc " are three mutually perpendicular vectors such that...

    Text Solution

    |

  20. If the angle between the vectros (x,3,-7) and (x,-x,4) is acute, then ...

    Text Solution

    |

  21. The value of c so that all real 'x' the vectors cxbari - 6barj+3bark, ...

    Text Solution

    |