Home
Class 12
MATHS
Let veca = hati + hatj + hatk, vecb = ha...

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 :

A

`-2 hati + 5 hatj -2 hatk`

B

`3 hati + hatj - 3 hatk`

C

`2 hati + hatj -2hatk`

D

`4 hati + hatj -4hatk.`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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 = 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 :

The vector veca = hati + hatj + (m + 1) hatk , vecb = hati + hatj + m hatk.vecc = hati - hatj + m hatk are coplanar for :

Let veca = hati- hatk, vecb = x hati + hatj + (1-x) hatk and vec c = y hati + x hatj + (1+ x -y) hatk. Then [veca vecb vec c] depends on:

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

The vectors lamda hati + hatj + 2 hatk, hati + lamda hatj - hatk and 2 hati - hatj + lamda hatk are coplanar if :

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

    |