Home
Class 12
MATHS
The vector hati +xhatj+3hatk is rotated ...

The vector `hati +xhatj+3hatk` is rotated through an angle `theta` and is doubled in magnitude. It now becomes `4hati+ (4x-2)hatj +2hatk`. The values of x are

A

`{-2/3,2}`

B

`{1/3,2}`

C

`P{2/3,0}`

D

{2,7}

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|36 Videos

  • VECTORS

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

  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

The vector hati+xhatj+3hatk is rotated through an angle theta and doubled in magnitude, then it becomes 4hati+(4x-2)hatj+2hatk . Then values of x are (A) -2/3 (B) 1/3 (C) 2/3 (D) 2

The vector hati+xhatj+3hatk is rotated through an angle theta and doubled in magnitude then it becomes 4hati+(4x-2)hatj+2hatk . The values of x are

A plane is parallel to the vectors hati+hatj+hatk and 2hatk and another plane is parallel to the vectors hati+hatj and hati-hatk . The acute angle between the line of intersection of the two planes and the vector hati-hatj+hatk is

If the magnitude of the projection of the vector hati-hatj+2hatk on the vector perpendicular to the plane containing the vectors 2hati+hatj+3hatk and hati-hatj-2hatk is k, then the value of (1)/(k^(2)) is equal to

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of the vectors 2hati+4hatj-5hatk and lamda hati+2hatj+3hatk is equal to one. Find the value of lamda .

If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively, then what is the magnitude of hati + hatj + hatk

If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, then the value of x and y will be

If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -4hatj + alphahatk, then the value of alpha is

If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -4hatj + alphahatk, then the value of alpha is

Statement1: A component of vector vecb = 4hati + 2hatj + 3hatk in the direction perpendicular to the direction of vector veca = hati + hatj +hatk is hati - hatj Statement 2: A component of vector in the direction of veca = hati + hatj + hatk is 2hati + 2hatj + 2hatk

VMC MODULES ENGLISH-VECTORS -JEE MAIN (ARCHIVE)
  1. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  2. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  3. The vector hati +xhatj+3hatk is rotated through an angle theta and is ...

    Text Solution

    |

  4. A particle acted upon by constant forces 4hati+hatj-3hatk and 3hati + ...

    Text Solution

    |

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

    Text Solution

    |

  6. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

    Text Solution

    |

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

    Text Solution

    |

  8. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |

  9. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^2)|=0 and vectors (1,a,a^2)...

    Text Solution

    |

  10. If vecu,vecv and vecw are three non coplanar vectors then (vecu+vecv-v...

    Text Solution

    |

  11. Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,h...

    Text Solution

    |

  12. Let A(3,0,-1), B(2,10,6) and C(1,2,1) be the vertices of a triangle an...

    Text Solution

    |

  13. If a unit vector vec a makes angle pi//3 with hat i ,pi//4 with hat...

    Text Solution

    |

  14. Let a=hati + hatj + sqrt(2)hatk, b=b(1)hati + b(2)hatj + sqrt(2)hatk a...

    Text Solution

    |

  15. Prove that the line x=ay+b, z=cy+d and x=a'y+b', z=dy+d' are perpendic...

    Text Solution

    |

  16. Let a=3hati + 2hatj + 2hatk and b= hati + 2hatj - 2hatk be two vectors...

    Text Solution

    |

  17. Let alpha epsilon R and the three vectors veca=alpha hati+hatj+3hatk, ...

    Text Solution

    |

  18. If the length of the perpendicular from the point (beta, 0,beta) (beta...

    Text Solution

    |

  19. Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk. If vecbeta...

    Text Solution

    |

  20. Let a=3hati + 2hatj + xhatk and b = hati - hatj + hatk, for some real ...

    Text Solution

    |