Home
Class 12
MATHS
If a,b,c are non-coplanar vectors and la...

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

A

all values of `lambda`

B

no value of `lambda`

C

except two values of `lambda`

D

except one value of `lambda`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -A|13 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -B|9 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B Cross Product of Vectors|73 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

Similar Questions

Explore conceptually related problems

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

If a, b, c are non-zero , non-collinear vectors and a xx b = bxx c = cxxa , then a + b+ c =

If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k are coplanar then lambda =

It a,b and c are non-coplanar vectors and the four points with position vectors 2a+3b-c, a-2b+3c, 3a+4b-2c and ka-6b+6c are coplanar, then k=

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If I + j + k, I - j, I + 2j + ak are coplanar then a is

    Text Solution

    |

  2. If 3i + 3j + sqrt(3) k, I + k, sqrt(3) I + sqrt(3) lambda k are coplan...

    Text Solution

    |

  3. If a,b,c are non-coplanar vectors and lambda is a real number, then th...

    Text Solution

    |

  4. Let a = I + j + k, b = I - j + 2k and c = xi + (x - 2) j - k. If the v...

    Text Solution

    |

  5. Let a = I - 2j + 3k, b = 2i + 3j - k and c = lambda I + j + (2 lambda ...

    Text Solution

    |

  6. If the vectors ai + j + k, I + bj + k, I + j + ck (a != b, c != 1) are...

    Text Solution

    |

  7. Let a,b,c the distinct non-negative numbers. If the vectors ai + aj + ...

    Text Solution

    |

  8. If a = i + j + k, b = 4i + 3j + 4k, c = i + alpha j + beta k are linea...

    Text Solution

    |

  9. If the volume of the parallelopiped whose edges are represented by 12i...

    Text Solution

    |

  10. If a = 2i + 3j, b = I + j + k, c = lambda I + 4j + 2k are the edges of...

    Text Solution

    |

  11. If the volume of the parallelopiped with eoterminus edges 4i + 5j + k,...

    Text Solution

    |

  12. The value of k for which the points A (1,0,3), B (-1,3,4) C (1,2,1) an...

    Text Solution

    |

  13. If the points 3i - 2j - k, 2i + 3j - 4k, I + j + 2k, 4i + 5j + lambda ...

    Text Solution

    |

  14. If the volume of the tetrahedron with edges 2i + j -k, I + aj + k and ...

    Text Solution

    |

  15. The volume of the tetrahedron having the edges I + 2j + k, I + j + k, ...

    Text Solution

    |

  16. If a,b,c,d are the position vectors of A,B,C,D respectively then the v...

    Text Solution

    |

  17. If d = x (a xx b) + y (b xx c) + z (c xx a) and [a b c] = 1/8, then x ...

    Text Solution

    |

  18. If a,b,c are non-coplanar vector and lambda is a real number then [lam...

    Text Solution

    |

  19. Let a = I - k,k b - xi + j + (1 - x) k and c = yi + xj + (1 + x - y) k...

    Text Solution

    |

  20. let a be unit vector, b = 2i + j - k and c = I + 3k. The maximum value...

    Text Solution

    |