Home
Class 12
MATHS
If bara,barb and barc be there non-zero ...

If `bara,barb and barc` be there non-zero vectors, no two of which are collinear. If the vectors `bara+2barb` is collinear with `barc and barb+3barc` is collinear with a, then (`lambda` being some non-zero scalar)`bara+2barb+6barc` is equal to

A

`lambdaa`

B

`lambdab`

C

`lambdac`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept -Based Single Correct Answer Type Questions)|10 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)|45 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Given bara, barb, barc are three non-zero vectors, no two of which are collinear. If the vector (bara + barb) is collinear with barc and (barb + barc) is collinear with bara , then : bara+barb+barc =

If bara barb barc are three nonzero vectors no two of which are collinear, bara+2barb is collinear with barc and barb+bar3c is collinear with bara then |bara+2barb+6barc| will be equal to

If bara,barb,barc are three non-zero vectors which are pairwise non-collinear. If bara+3barb is collinear with barc and barb+2barc is collinear with bara , then bara+3barb+6barc is

If bara and barb are non-collinear vectors, then

bara.[barb+barc)xx(bara+barb+barc)] is equal to

If bara,barb,barc are non-coplanar vectors, then three points with position vectors bara-2barb+3barc,2bara+mbarb-4barc and -7barb+10barc will be collinear if m equals

IF bara barb and barc are three unit vectors such that bara times (barb times barc)=1/2 barb Find the angles which bara makes with barb and barc .

Given that the vectors bara,barb and barc (no two of them are collinera). Further if (bara +barb) is collinear with barc,(barb+barc) is collinear with bara and |bara|=|barb|=|barc|=sqrt2 . Then the value of |bara.barb+barb.barc+barc.bara| is________

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

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

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-2 Single Correct Answer Type Questions)
  1. The vector vec c , directed along the internal bisector of the angle...

    Text Solution

    |

  2. If bara,barb and barc be there non-zero vectors, no two of which are c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Let p, q, r be three mutually perpendicular vectors of the same magnit...

    Text Solution

    |

  6. If a, b, c and d are unit vectors, then abs(a-b)^(2)+abs(b-c)^(2)+abs(...

    Text Solution

    |

  7. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

    Text Solution

    |

  8. The vectors a=2hati+hatj-2hatk, b=hati+hatj. If c is a vector such tha...

    Text Solution

    |

  9. A tangent is drawn to the curve y=8/x^2 in XY-plane at the point A(x...

    Text Solution

    |

  10. The vectors 3i - 2j + k, i - 3 j + 5k and 2i + j - 4k form the sides o...

    Text Solution

    |

  11. For unit vectors b and c and any non zero vector a, the value of {{(a+...

    Text Solution

    |

  12. Three non-coplanar vector a, b and c are drawn from a common initial p...

    Text Solution

    |

  13. A unit tengent vector at t = 2 on the curve x=t^(2)+2, y=4t^(3)-5,z=2t...

    Text Solution

    |

  14. A particle moves along a curve so that its coordinates at time t are x...

    Text Solution

    |

  15. Consider the parallelopiped wide sides a = 3i + 2j + k, b = I + j + 2k...

    Text Solution

    |

  16. A unit vector n perpendicular to the plane determined by the points A ...

    Text Solution

    |

  17. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  18. If a+b+c=0" and "abs(a)=3, abs(b)=5" and "abs(c)=7 then the angle betw...

    Text Solution

    |

  19. The vector ((i-j) times (j-k)) times (i+5k) is equal to

    Text Solution

    |

  20. The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...

    Text Solution

    |