Home
Class 12
MATHS
If a is perpedicular to b and c|a| = 2,...

If a is perpedicular to b and `c|a| = 2, |b| = 3 |c| = 4` and the angle between b and c is `(2pi)/(3)` , then `[a,b,c]` is equal to

A

`7sqrt3`

B

`9sqrt3`

C

`12sqrt3`

D

`5sqrt3`

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

If a+b+c=0 and |a|=sqrt(37),|b|=3, |c|=4 then the angle between b and c is

If bar(a) is a perpendicular to bar(b) and bar(c), |bar(a)|=2, |bar(b)|=3, |bar(c)|=4 and the angle between bar(b) and bar(c) is (2pi)/(3) then |[bar(a) bar(b) bar(c)]| =

If |overline(a)|=5, |overline(b)|=3, |overline(c)|=4 and |overline(a)| is perpendicular to |overline(b)| and |overline(c)| such that the angle between |overline(b)| and |overline(c)| is (5pi)/(6) , then [[overline(a),overline(b), overline(c)]]=

If overline(a) is perpendicular to overline(b) and overline(c), |overline(a)|=2, |overline(b)=3, |overline(c)|=4 and the angle between overline(b) and overline(c) is (2pi)/(3) , then |[[overline(a), overline(b), overline(c)]]|=

If |overline(c)|=1 and overline(c) is perpedicular to overline(a) and overline(b) such that the angle between overline(a) and overline(b) is (pi)/(4) , then [[overline(a), overline(b), overline(c)]]=

If a/3 = b/4 = c/7 then (a+b+c)/(c) is equal to

BITSAT GUIDE-VECTOR ALGEBRA -BITSAT Archives
  1. If a is perpedicular to b and c|a| = 2, |b| = 3 |c| = 4 and the angl...

    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

    |