Home
Class 12
MATHS
Let a,b and c be three non-zero vectors ...

Let a,b and c be three non-zero vectors which are pairwise non-collinear. If a+3b is collinear with c and b+2c is collinear with a, then a+3b+6c is

A

a + c

B

a

C

c

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos
  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

Similar Questions

Explore conceptually related problems

Let a,b,c be three non-zero vectors which are pairwise non-collinear.If a+3b is collinear with cand c and b+2c is collinear with a then a+b+6c is

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

Let bar(a) , bar(b) , bar(c) be three non- zero vectors which are pair-wise non- collinear.If bar(a)+3bar(b) is collinear with bar(c) and bar(b)+2bar(c) is collinear with bar(a) , then bar(a)+3bar(b)+6bar(c)=...........

If a,b and c are three non-zero vectors such that no two of these are collinear. If the vector a+2b is collinear with c and b+3c is collinear with a( lamda being some non-zero scalar), then a+2b+6c is equal to

If vec a,vec b and vec c are three non-zero vectors,no two of which ar collinear,vec a+2vec b is collinear with vec c and vec b+3vec c is collinear with vec a then find the value of |vec a+2vec b+6vec c|

Let vec a,vec b,vec c be three non-zero vectors such that any two of them are non-collinear.If vec a+2vec b is collinear with vec c and vec b+3vec c is collinear with vec a then prove that vec a+2vec b+6vec c=vec 0

BITSAT GUIDE-VECTOR ALGEBRA -BITSAT Archives
  1. Let a,b and c be three non-zero vectors which are pairwise non-colline...

    Text Solution

    |

  2. The unit vector perpendicular to the vectors hati -hatj andhati + hatj...

    Text Solution

    |

  3. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  4. If |a|= 2, |b|=5 and |a xx b|=8, then |a.b| is equal to

    Text Solution

    |

  5. The work done by the force 4hati-3hatj +2hatk in moving a particle al...

    Text Solution

    |

  6. If a .(b xx c) = 0, then the correct statement is

    Text Solution

    |

  7. If 2hati+hatj-hatk & hati-4hat j+lambda hatk are perpendicular to each...

    Text Solution

    |

  8. If a.hati=4 then (axx hatj).(2hatj-3hatk) is equal to

    Text Solution

    |

  9. The vector r is equal to

    Text Solution

    |

  10. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

    Text Solution

    |

  11. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

    Text Solution

    |

  12. The position vectors of P and Q are respectively vec a and vec b . If ...

    Text Solution

    |

  13. If the position vectors of A, B and C are respectively 2hati-hatj+hatk...

    Text Solution

    |

  14. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

    Text Solution

    |

  15. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

    Text Solution

    |

  16. Let a, b, c be three non-coplanar vectors and p, q, r be vectors defin...

    Text Solution

    |

  17. If hata, hatb and hatc are mutually perpendicular unit vectors then |...

    Text Solution

    |

  18. The projection of the vector 2hati+hatj -3hatk on the vector hati-2hat...

    Text Solution

    |

  19. If a = hati+2hatj-3hatk and b = 3hati-hatj+2hatk then the angle betwee...

    Text Solution

    |

  20. If the vectors alpha hati+hatj+hatk,hati+betahatj+hatk and hati+hatj+g...

    Text Solution

    |

  21. If a vector alpha lie in the plane of beta and gamma , then which is...

    Text Solution

    |