Home
Class 12
MATHS
Let veca = hatj - hatk and vecc = hati -...

Let `veca = hatj - hatk and vecc = hati - hatj - hatk.` Then the vector `vecb` satisfying `veca xx vecb + vecc= vec0 and veca. Vecb=3` is :

A

`-hati + hatj - 2 hatk`

B

`2hati - hatj + 2 hatk`

C

`hati - hatj - 2hatk`

D

`hati + hatj - 2 hatk.`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Multiple Choice Question (Level-II)|38 Videos
  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati + (x -2) hatj + hatk. If the vector vecc lies in the plane of veca and vecb, then x equals :

Let veca = 2hati + hatj -hatk , vecb = hati + 2hatj - hatk , and vecc = hati + hatj - 2hatk , be three vectors . A vector in the plane of b and c whose projection an a is of magnitude sqrt(2//3) is

Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - hatj - hatk be three vectors. A vector vecv in the plane of veca and vecb, whose projection on vecc is (1)/(sqrt3), is given by :

If veca = 4 hati + 6 hatj and vecb =3 hatj + 4 hatk, then the vector form of the component of veca along vecb is :

If veca = (hati + ahtj + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk then vecb is :

If hata=5hati-hatj-3hatK and vecb=hati+3hatj-5hatk , then show that the vectors veca+vecb and veca-vecb are perpendicular.

MODERN PUBLICATION-VECTOR ALGEBRA -LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS
  1. Let veca = hatj - hatk and vecc = hati - hatj - hatk. Then the vector ...

    Text Solution

    |

  2. If the vectors veca = hati - hatj + 2 hatk, vecb = 2 hati + 4 hatj + h...

    Text Solution

    |

  3. Let P,Q,R and S be the points on the plane with position vectors - 2 h...

    Text Solution

    |

  4. Two adjacent sides of a parallelogram ABCD are given by : vec(AB) = ...

    Text Solution

    |

  5. If veca = (1)/(sqrt10) (3 hati + hatk) and vecb =1/7 (2 hati + 3 hatj ...

    Text Solution

    |

  6. The vectors veca and vecb are not perpendicular and vecc and vecd are ...

    Text Solution

    |

  7. Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - ha...

    Text Solution

    |

  8. If the vectors p hati + hatj+ hatk, hati i+ q hatj + hatk and hati + h...

    Text Solution

    |

  9. Let veca, vecb, vecc be three non-zero vectors, which are pair-wise no...

    Text Solution

    |

  10. Let veca and vecb be two unit vectors. If the vecctors vecc = hata + 2...

    Text Solution

    |

  11. Let ABCD be a parallelogram such that vec(AB)=vecq,vec(AD)= vecp and a...

    Text Solution

    |

  12. If veca and vecb are vectors such that |veca + vecb|= sqrt29and veca x...

    Text Solution

    |

  13. If the vectors vec(AB) = 3 hati + 4 hatk and A vecC = 5 hati - 2 hatj ...

    Text Solution

    |

  14. Let PvecR = 3 hati + hatj - 2 hatk and S vecQ = hati - 3 hatj - 4 hatk...

    Text Solution

    |

  15. If [vecaxx vecb vecb xx vecc vecc xx veca] = lamda [veca vecb vecc]^(2...

    Text Solution

    |

  16. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

    Text Solution

    |