Home
Class 12
MATHS
A,B,C,D are four points in space and |ba...

A,B,C,D are four points in space and `|bar(AB) times bar(CD) +bar(BC) times bar(AD)+bar(CA) times bar(BD)|=lamda` (area `DeltaABC`) then value of `lamda` is _____

Text Solution

Verified by Experts

The correct Answer is:
`4DeltaABC`
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (MULTIPLE CHOICE QUESTIONS) |104 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

The value of (bar(A)+bar(B))times(bar(A)-bar(B)) is

If ABCD is a square, then bar(AB) + 2 bar(BC) + 3 bar(CD) + 4 bar(DA) =

If A,B,C and D are four points and bar(AB)=bar(DC) then bar(AC)+bar(BD)=(A)2vec AD(B)2vec CB(C)2vec AC(D) none

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

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

IF bar(AB)=bara times (bara times barb) and bar(AC)=bara times barb where |bara|=sqrt3 then find the angles of DeltaABC .

If ABCD is a square then, 2bar(AB)+4bar(BC)+5bar(CD)+7bar(DA)=

If AD , BE and CF are medians of DeltaABC , then bar(AD) + bar(BE) + bar(CF) =

If bar(a)+lamdabar(b)+3bar(c),-2bar(a)+3bar(b)-4bar(c),bar(a)-3bar(b)+5bar(c) are coplanar, then find value of lamda

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (FILL IN THE BLANKS)
  1. If for all real x the vector cxhati-6hatj+3hatk and xhati+2hatj+2cxhat...

    Text Solution

    |

  2. Projection of b = 2i + 3j -2k in the direction of vector a = i+2j+3k i...

    Text Solution

    |

  3. (i)a xx (b + c) + b xx (c + a) + c xx(a +b) =

    Text Solution

    |

  4. (i) If vecOA = a, vecOB = b, then the vector area of triangle OAB is ....

    Text Solution

    |

  5. If the diagonals of a parallelogram are 3i+j-2k and i -3j +4k then its...

    Text Solution

    |

  6. If a = 2i-3j+k, b=-i+k,c=2j-k then the area of parallelogram whose dia...

    Text Solution

    |

  7. a =i-2j+3k,b=3i+j+2k then a vector c which is linear combination of a ...

    Text Solution

    |

  8. The distance of the point B(i+2j+3k) from the line which is passing th...

    Text Solution

    |

  9. If veca,vecb,vecc are non coplanar vector and vecn.veca=vecn.vecb=vecn...

    Text Solution

    |

  10. A,B,C,D are four points in space and |bar(AB) times bar(CD) +bar(BC) t...

    Text Solution

    |

  11. If [I, j, k] be a set of orthogonal unit vectors, then fill up the bla...

    Text Solution

    |

  12. The components of a vector veca along and perpendicular to a non-zero ...

    Text Solution

    |

  13. If r be any vector, then |r xx i|^(2) + |r xx j|^(2) + |r xxk|^(2) =...

    Text Solution

    |

  14. The points O, A, B, C, D are such that vecOA = a, vecOB = b, vecOC = 2...

    Text Solution

    |

  15. Let vec O A- vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

    Text Solution

    |

  16. A non-zero vector is a parallel to theline of intersection of the plan...

    Text Solution

    |

  17. A vector of magnitude sqrt(2) units and coplanar with vector 3i-j-k a...

    Text Solution

    |

  18. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

    Text Solution

    |

  19. In a parallelogram ABCD, bisectors of consecutive angles A and B inter...

    Text Solution

    |

  20. If alpha,beta,gamma satisfy k xx(kxxa) =0 and a =alphai+betaj+gammak, ...

    Text Solution

    |