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

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

A

`hati -3hatj + 3hatk`

B

`-3hati - 3hatj- hatk`

C

`3hati -hatj + 3hatk`

D

`hati + 3hatj - 3hatk`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|60 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 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 vecb and vecc whose projection on veca is of magnitude sqrt((2/3)) is (A) 2hati+3hatj+3hatk (B) 2hati+3hatj-3hatk (C) -2hati-hatj+5hatk (D) 2hati+hatj+5hatk

Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hatk be three vectors . A vector in the pland of vecb and vecc whose projection on veca is of magnitude sqrt((2/3)) is (A) 2hati+3hatj+3hatk (B) 2hati+3hatj-3hatk (C) -2hati-hatj+5hatk (D) 2hati+hatj+5hatk

Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj-hatk . If the vector vecc lies in the plane of veca and vecb then x equals

Let veca=hati+2hatj +hatk, vec=hati-hatj+hatk and vecc=hati+hatj-hatk . A vector in the plane of veca and vecb whose projection on vecc is 1/sqrt(3) is (A) 4hati-hatj+4hatk (B) hati+hatj-3hatk (C) 2hati+hatj-2hatk (D) 4hati+hatj-4hatk

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk , then the value of [(veca, vecb, vecc)] is equal to

Let veca=hati+2hatj+3hati, vecb=hati-hatj+2hatk and vecc=(x-2)hati-(x-3)hatj-hatk . If vecc lies in the plane of veca and vecb , then (1)/(x) is equal to

If veca=hati-2hatj+3hatk, vecb=2hati+3hatj-hatk and vecc=rhati+hatj+(2r-1)hatk are three vectors such that vecc is parallel to the plane of veca and vecb then r is equal to,

If veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk , then a unit vector normal to the vectors veca + vecb and vecb -vecc , is

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE)
  1. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

    Text Solution

    |

  2. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

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

    Text Solution

    |

  4. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  5. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

    Text Solution

    |

  6. if veca , vecb and vecc are three non-zero, non- coplanar vectors and ...

    Text Solution

    |

  7. If veca and vecb are vectors such that |veca+ecb|=sqrt(29) and veca xx...

    Text Solution

    |

  8. Let a, b, c be unit vectors such that a+b+c=0. Which one of the follow...

    Text Solution

    |

  9. Let the vectors vec(PQ),vec(QR),vec(RS), vec(ST), vec(TU) and vec(UP) ...

    Text Solution

    |

  10. If veca, vecc, vecc and vecd are unit vectors such that (vecaxx vecb)....

    Text Solution

    |

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

    Text Solution

    |

  12. The number of distinct real values of alpha, for which the vectors -la...

    Text Solution

    |

  13. Find the value of a so that the volume of the parallelopiped formed b...

    Text Solution

    |

  14. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  15. The vector(s) which is /are coplanar with vectors hati +hatj + 2hatk a...

    Text Solution

    |

  16. Let vecu = u(1)hati + u(2)hatj +u(3)hatk be a unit vector in R^(3) a...

    Text Solution

    |

  17. Let PQR be a triangle . Let veca=overline(QR),vecb = overline(RP) and ...

    Text Solution

    |

  18. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  19. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  20. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |