Home
Class 12
MATHS
Let veca, vecb and vecc be non-zero vect...

Let `veca, vecb and vecc` be non-zero vectors such that no two are collinear and `(vecaxxvecb)xxvecc=1/3 |vecb||vecc|veca` if `theta` is the acute angle between vectors `vecb and vecc` then find value of `sin theta`.

A

`1/3`

B

`sqrt(2)/3`

C

`2/3`

D

`(2sqrt(2))/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos
  • VECTORS

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

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

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

Similar Questions

Explore conceptually related problems

Let veca,vecb and vecc be non-zero vectors such that no two are collinear and (vecaxxvecb)xxvecc=1/3|vecb||vecc|veca If theta is the acute angle between the vectors vecb and vecc then sin theta equals

Let veca,vecb and vecc be the non zero vectors such that (vecaxxvecb)xxvecc=1/3 |vecb||vecc|veca. if theta is the acute angle between the vectors vecb and veca then theta equals (A) 1/3 (B) sqrt(2)/3 (C) 2/3 (D) 2sqrt(2)/3

Let veca,vecb,vecc be three non-zero vectors such that [vecavecbvecc]=|veca||vecb||vecc| then

If veca, vecb, vecc are three non-zero vectors such that veca + vecb + vecc=0 and m = veca.vecb + vecb.vecc + vecc.veca , then:

let veca, vecb and vecc be three unit vectors such that veca xx (vecb xx vecc) =sqrt(3)/2 (vecb + vecc) . If vecb is not parallel to vecc , then the angle between veca and vecb is:

If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=veca , veccxxveca=vecb and vecaxxvecb=vecc then |veca+vecb+vecc| =

Let veca , vecb and vecc be three non-zero vectors such that veca + vecb + vecc = vec0 and lambda vecb xx veca + vecbxxvecc + vecc xx veca = vec0 then find the value of lambda .

veca,vecb and vecc are three non-zero vectors, no two of which are collinear and the vectors veca+vecb is collinear with vecc , vecb+vecc is collinear with veca , then veca+vecb+vecc=

For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc = |veca||vecb||vecc| holds if and only if

If veca , vecb , vecc are unit vectors such that veca+ vecb+ vecc= vec0 find the value of (veca* vecb+ vecb* vecc+ vecc*veca) .

VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. ABC is isosceles triangle, right angled at A. The resultant of the for...

    Text Solution

    |

  2. If (atimesb)timesc=atimes(btimesc), where a, b and c are any three vac...

    Text Solution

    |

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

    Text Solution

    |

  4. If veca and vecb are mutually perpendicular unit vectors, vecris a vec...

    Text Solution

    |

  5. If V is the volume of the parallelepiped having three coterminous edge...

    Text Solution

    |

  6. Let G(1), G(2) and G(3) be the centroid of the triangular faces OBC, O...

    Text Solution

    |

  7. If hati, hatj, hatk are unit orthonormal vectors and veca is a vector,...

    Text Solution

    |

  8. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

    Text Solution

    |

  9. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

    Text Solution

    |

  10. If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...

    Text Solution

    |

  11. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

    Text Solution

    |

  12. If veca is perpendicular to vecb and vecr is a non-zero vector such th...

    Text Solution

    |

  13. Let veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit ...

    Text Solution

    |

  14. Given that veca,vecc,vecd are coplanar the value of (veca + vecd).{vec...

    Text Solution

    |

  15. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

    Text Solution

    |

  16. If A(1,-1,-3),B(2,1,-2) and C(-5,2,-6) are the position vectors of the...

    Text Solution

    |

  17. If |{:(veca,vecb,vecc),(veca.veca,veca.vecb,veca.vecc),(veca.vecc,vecb...

    Text Solution

    |

  18. Let vec(A)D be the angle bisector of angle A" of " Delta ABC such th...

    Text Solution

    |

  19. Let veca = 2hati + hatj + hatk, and vecb = hati+ hatj if c is a vecto...

    Text Solution

    |

  20. If veca and vecb are two unit vectors and theta is the angle between t...

    Text Solution

    |