Home
Class 12
MATHS
If veca = (hati +hat j + hatk), veca.vec...

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

A

`hati - ahtj + hatk`

B

`2 hatj-hatk`

C

`hati`

D

`2hati.`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|16 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 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

veca. (veca xx vecb)=

If |veca| =8, |vecb| =3 and |veca xx vecb|=12, then veca.vecb is :

If veca = hati + 2 hatj + 3 hatk, vecb=- hati + 2 hatj + hatk and vec c = 3 hati + hatj, then th such that vec a + t vecb is at right angles to vec c, will be equal to :

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

If the vectors veca = hati - hatj + 2 hatk, vecb = 2 hati + 4 hatj + hatk and vecc = lamda hati + hatj + mu hatk aer mutually orthogonal, then (lamda, mu)=

If veca=hati + 2 hatj + 2hatk, |vecb|=5 and angle between veca and vecb is (pi)/(60, then the area of the triangle formed by these two vectors as two side is :

MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If veca = (hati +hat j + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk...

    Text Solution

    |

  5. If veca, vecb, cecc are non-coplanar vectors and lamda is a real numbe...

    Text Solution

    |

  6. If hatu and hatv are unit vactors and theta is the angle between them,...

    Text Solution

    |

  7. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

    Text Solution

    |

  8. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

    Text Solution

    |

  9. The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb ...

    Text Solution

    |

  10. Let the vectors veca, vecb, vecc and vecd be such that (veca xx vecb) ...

    Text Solution

    |

  11. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

    Text Solution

    |

  12. If veca, vecb, vecc are three non-zero, non-coplanar vectors and vec...

    Text Solution

    |

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

    Text Solution

    |

  14. The number of distinct real values of lamda, for which the vectors : ...

    Text Solution

    |

  15. Let veca, vecb, vecc be unit vectors such that veca + vecb + vecc = v...

    Text Solution

    |

  16. The edges of a parallelopiped are of unit length and are parallel to n...

    Text Solution

    |

  17. Let two non-collinear unit vectors hata and hatb form an acute angle. ...

    Text Solution

    |

  18. If vec u , vec nu, and vec w are non coplanar vectors and p,q are real...

    Text Solution

    |

  19. If veca , vecb, vecc and vecd are unit vectors such that (veca xx vecb...

    Text Solution

    |

  20. Let (P (3,2,6) be a point in space and Q be point on the line vecr = (...

    Text Solution

    |