Home
Class 12
MATHS
The vectors a=2hati+hatj-2hatk, b=hati+h...

The vectors `a=2hati+hatj-2hatk, b=hati+hatj`. If c is a vector such that `a.c=|c| and |c-a|=2sqrt2,` angle between `axxb` and c is `45^(@)`, then `|(axxb)xxc|` is

A

3

B

`sqrt3/2`

C

`(3sqrt2)/2`

D

`(2sqrt2)/3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

Similar Questions

Explore conceptually related problems

The angle between vector a=2hati+hatj-2hatk and b=3hati-4hatj is equal to

Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a xx c + b=0 and a.c =4, then |c|^(2) is equal to .

Three vectors a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-hatk , then the unit vector perpendicular to both a+b and b+c is

Let a=2hati+hatj+hatk,b=hati+2hatj-hatk and c is a unit vector coplanar to them. If c is perpendicular to a, then c is equal to

BITSAT GUIDE-VECTOR ALGEBRA -BITSAT Archives
  1. The vectors a=2hati+hatj-2hatk, b=hati+hatj. If c is a vector such tha...

    Text Solution

    |

  2. The unit vector perpendicular to the vectors hati -hatj andhati + hatj...

    Text Solution

    |

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

    Text Solution

    |

  4. If |a|= 2, |b|=5 and |a xx b|=8, then |a.b| is equal to

    Text Solution

    |

  5. The work done by the force 4hati-3hatj +2hatk in moving a particle al...

    Text Solution

    |

  6. If a .(b xx c) = 0, then the correct statement is

    Text Solution

    |

  7. If 2hati+hatj-hatk & hati-4hat j+lambda hatk are perpendicular to each...

    Text Solution

    |

  8. If a.hati=4 then (axx hatj).(2hatj-3hatk) is equal to

    Text Solution

    |

  9. The vector r is equal to

    Text Solution

    |

  10. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

    Text Solution

    |

  11. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

    Text Solution

    |

  12. The position vectors of P and Q are respectively vec a and vec b . If ...

    Text Solution

    |

  13. If the position vectors of A, B and C are respectively 2hati-hatj+hatk...

    Text Solution

    |

  14. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

    Text Solution

    |

  15. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

    Text Solution

    |

  16. Let a, b, c be three non-coplanar vectors and p, q, r be vectors defin...

    Text Solution

    |

  17. If hata, hatb and hatc are mutually perpendicular unit vectors then |...

    Text Solution

    |

  18. The projection of the vector 2hati+hatj -3hatk on the vector hati-2hat...

    Text Solution

    |

  19. If a = hati+2hatj-3hatk and b = 3hati-hatj+2hatk then the angle betwee...

    Text Solution

    |

  20. If the vectors alpha hati+hatj+hatk,hati+betahatj+hatk and hati+hatj+g...

    Text Solution

    |

  21. If a vector alpha lie in the plane of beta and gamma , then which is...

    Text Solution

    |