Home
Class 12
MATHS
If bara,barb,barc are three non-coplanar...

If `bara,barb,barc` are three non-coplanar vectors such that `barr_1=bara-barb+barc,barr_2=barb+barc-bara,barr_3=barc+bara+barb, barr=2bara-3barb+4barc,` if `barr=lambda_1 barr_1+lambda_2 barr_2+lambda_3 barr_3`, then

A

`lambda_1=7`

B

`lambda_1+lambda_3=3`

C

`lambda_1+lambda_2+lambda_3=5`

D

`lambda_3+lambda_2=2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|79 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

If bara,barb,barc are three coplanar vectors, then [bara+barb" "barb+barc" "barc+bara]=

If bara,barb,barc be any three non-coplanar vectors, then [bara+barb" "barb+barc" "barc+bara]=

lf bara,barb,barc are three unit-vectors such that 3bara + 4barb + 5barc = bar0 , then

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

If bara,barb and barc are three non-coplanar vectors, then : (bara + barb + barc) · [(bara + barb) xx (bara + barc)] =

lf bara,barb,barc are coplanar unit vectors, then [2bara-barb,2barb-barc,2barc-bara]=

If bara,barb,barc are non-zero, non collinear vectors, then the vectors bara-barb+barc,4bara-7barb-barc and 3bara+6barb+6barc are

bara,barb,barc are three unit vectors such that |bara-barb|^2+|bara-barc|^2=8 ,then |bara+2barb|^2+|bara+2barc|^2=

[[bara-barb, barb-bara, barc-bara]]=

TARGET PUBLICATION-VECTORS-Evaluation Test
  1. Given bara, barb, barc are three non-zero vectors, no two of which are...

    Text Solution

    |

  2. If bara,barb,barc are three non-coplanar vectors such that barr1=bara-...

    Text Solution

    |

  3. Let a,b,c be distinct non- negative numbers . If the vectors ah...

    Text Solution

    |

  4. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  5. If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...

    Text Solution

    |

  6. The value of a so that volume of parallelopiped formed by vectors over...

    Text Solution

    |

  7. If bara.barb=barb.barc=barc.bara=0 then the value of [bara" "barb" "ba...

    Text Solution

    |

  8. Let bara=-overset(^)i-overset(^)k,barb=-overset(^)i+overset(^)j and ba...

    Text Solution

    |

  9. If bara and barb are vectors such that |bara+barb|=sqrt(29) and baraxx...

    Text Solution

    |

  10. If the vectors veca, vecb, vecc are non -coplanar and l,m,n are distin...

    Text Solution

    |

  11. P is any point on the circumference of the circumcircle of DeltaABC. ...

    Text Solution

    |

  12. The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(...

    Text Solution

    |

  13. If the volume of parallelopiped whose concurrent edges are 3overset(^)...

    Text Solution

    |

  14. If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)...

    Text Solution

    |

  15. If the position vector of p is 3barp+barq and barp divides PQ intern...

    Text Solution

    |

  16. A(bara)=3overset(^)i+2overset(^)j,B(barb)=5overset(^)i+3overset(^)j+2o...

    Text Solution

    |

  17. In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0)...

    Text Solution

    |

  18. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |