Home
Class 12
MATHS
If a,b,c ar enon-coplanar vectors and la...

If a,b,c ar enon-coplanar vectors and `lamda` is a real number, then the vectors `a+2b+3c,lamdab+4c and (2lamda-1)c` are non-coplanar for

A

all values of `lambda`

B

all expect one value of `lambda`

C

all except two values of `lambda`

D

no value of `lambda`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • 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 (3) (FILL IN THE BLANKS) |8 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are non-coplanar vectors and lamda is a real number, then the vectors a+2b+3c,lamdab+4c and (2lamda-1)c are non-coplanar for

If a,b and c are non-coplanar vectors and lamda is a real number, then the vectors a+2b+3c,lamdab+muc and (2lamda-1)c are coplanar when

If a,b,c are non coplanner vectors and lambda is a real no.then the vector a +2b+3c,lambda b+4c and (2 lambda-1) c are non coplanner for:-

IF bara,barb,barc are non-coplanar vectors and lamda is a real number then the vectors bara+2barb+3barc,lamdabarb+4barc and(2lamda-1)barc are non coplanar for

If veca, vecb, vecc are non coplanar vectors and lamda is a real number, then the vectors veca+2vecb+3vecc, lamdavecb+4vec and (2lamda-1)vecc are non coplanar for

If bara,barb,barc are non coplanar vectros and lamda is a real number then the vectors bar+2barb+3barc,lamda barb+4barc and (2lamda-1)barc are non coplanar for (A) all values of lamda (B) non value of lamda (C) all except two values of lamda (D) all except one vaue of lamda

If veca,vecb,vecc are noncoplanar vectors and lamda is a real number, then the vectors veca+2vecb+3vecc, lamda vecb+4vecc and (2lamda-1)vecc are non coplanar of (A) all values of lamda (B) all except one values of lamda (C) all except two values of lamda (D) no value of lamda

If vec a,vec b,vec c are non-coplanar vectors and lambda is a real number then then vectors vec a+2vec b+3vec c,lambdavec b+4vec c and (2 lambda-1)vec c are non-coplanar for

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

    Text Solution

    |

  2. If vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

    Text Solution

    |

  3. If a,b,c ar enon-coplanar vectors and lamda is a real number, then the...

    Text Solution

    |

  4. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  5. The resultant of two forces P N and 3 N is a force of 7 N. If the d...

    Text Solution

    |

  6. a =hati+hatj-hatk,b= hati-2hatj+hatk,c=hati-hatj-hatk, then a vector i...

    Text Solution

    |

  7. Let a =i-j,b=j-k,c=k-i. If d is a unit vector such that a.d =0 = [vecb...

    Text Solution

    |

  8. x,y,z are distinct scalars such that [xa+yb+zc, xb+yc+za, xc+ya+zb] =0...

    Text Solution

    |

  9. If l,j,k are the usual three perpendicular unit vectors then the val...

    Text Solution

    |

  10. Write the value of hat idot( hat jxx hat k)+ hat jdot( hat kxx hat i)...

    Text Solution

    |

  11. If a =i+j-k,b=i-j+k andc=i-j-k then axx(bxxc) =

    Text Solution

    |

  12. If a,b,c be three non-coplanar vectors, then (i) [a-b,b-c,c-a]=

    Text Solution

    |

  13. If A, B, C are three points with position vectors i+j,i-j and p.i+qj+...

    Text Solution

    |

  14. If a = i +j + k, b = 4i + 3j + 4k and c = i + alphaj + betak are linea...

    Text Solution

    |

  15. If a.b = b.c = c.a = 0, then a.(bxxc)=

    Text Solution

    |

  16. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

    Text Solution

    |

  17. If x=3i-6j-k, y=i+4j-3k" and "z=3i-4j-12k, then the magnitude of the p...

    Text Solution

    |

  18. IF a,b,c are non-coplanar vectors, then |{:(a.a,,a.b.,,a.c),(b.a,,b....

    Text Solution

    |

  19. a,b,c are unit vectors such that aand b are mutualy perpendicular and ...

    Text Solution

    |

  20. If a,b and c are three non-coplanar vectors, then the scalar product o...

    Text Solution

    |