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

`(2)/(3)`

B

`(-2sqrt3)/(3)`

C

`(2sqrt2)/(3)`

D

`(-sqrt2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 3|38 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 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:

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

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 any three vectors such that (veca+vecb).vecc=(veca-vecb)=vecc=0 then (vecaxxvecb)xxvecc is

MOTION-VECTOR -EXERCISE - 4 ( LEVEL -I)
  1. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

    Text Solution

    |

  2. ABC is triangle, right angled at A. The resultant of the forces acting...

    Text Solution

    |

  3. The values of a for which the points A, B, and C with position vectors...

    Text Solution

    |

  4. If vec(u) and vec(v) are unit vectors and theta is the actue angle...

    Text Solution

    |

  5. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat...

    Text Solution

    |

  6. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

    Text Solution

    |

  7. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

    Text Solution

    |

  8. If vec u ,"" vec v , vec w are noncoplanar vectors and p, q are re...

    Text Solution

    |

  9. Let veca=hatj-hatk and vecc=hati-hatj-hatk. Then the vector vecb satis...

    Text Solution

    |

  10. If the vectors veca=hati-hatj+2hatk, vecb=2hati+4hatj+hatk and vecc=la...

    Text Solution

    |

  11. The vectors veca and vecb are not perpendicular and vecac and vecd are...

    Text Solution

    |

  12. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  13. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |

  14. If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are t...

    Text Solution

    |

  15. If [(vecaxxvecb, vecbxxvecc, veccxxveca)]=lamda[(veca, vecb, vecc)]^(2...

    Text Solution

    |

  16. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

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

    Text Solution

    |

  18. Let veca, vecb and vecc be three unit vectors such that vecaxx(vecbxxv...

    Text Solution

    |

  19. Let vecu be a vector coplanar with the vectors veca = 2hati + 3hatj - ...

    Text Solution

    |

  20. The length of the projection of the line segment joining the points (5...

    Text Solution

    |