Home
Class 12
MATHS
If veca, vecb and vecc are three unit ve...

If `veca, vecb and vecc` are three unit vectors such that `veca xx (vecb xx vecc) = 1/2 vecb , " then " ( vecb and vecc ` being non parallel)

Text Solution

Verified by Experts

The correct Answer is:
`(2pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

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 three non zero vectors such that veca xx vecb = vecc and vecbxx vecc = veca. Prove that veca, vecb and vecc are mutually at right angles and |vecb|=1 and |vecc| =|veca|

If veca, vecb are the unit vectors such that veca + 2vecb + 2vecc=0 , then |veca xx vecc| is equal to:

If veca, vecb, vecc are vectors such that veca.vecb=0 and 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:

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca,vecb are two unit vectors such that veca+(veca xx vecb)=vecc , where |vecc|=2 , then value of [vecavecbvecc] is

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(veccxxvecd)=1 and veca.vecc=1/2 then (A) veca,vecb,vecc are non coplanar (B) vecb,vecc, vecd are non coplanar (C) vecb, vecd are non paralel (D) veca, vecd are paralel and vecb, vecc are parallel

MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. If veca =hati + hatj-hatk, vecb = - hati = - hati + 2hatj + 2hatk and ...

    Text Solution

    |

  2. Given that vectors veca and vecb asre perpendicular to each other, fin...

    Text Solution

    |

  3. If veca, vecb and vecc are three unit vectors such that veca xx (vecb ...

    Text Solution

    |

  4. The diagonals of a parallelogram are given by vectors 2hati+3hatj-6hat...

    Text Solution

    |

  5. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

    Text Solution

    |

  6. Two vertices of a triangle are at -hati+3hatj and 2hati+5hatj and its ...

    Text Solution

    |

  7. If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vec|^2+...

    Text Solution

    |

  8. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

    Text Solution

    |

  9. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  10. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

    Text Solution

    |

  11. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

    Text Solution

    |

  12. The value of a so that the volume of the paralelopiped formed by hati+...

    Text Solution

    |

  13. A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+h...

    Text Solution

    |

  14. If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...

    Text Solution

    |

  15. If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...

    Text Solution

    |

  16. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

    Text Solution

    |

  17. Let vecA be a vector parallel to the of intersection of planes P1 and ...

    Text Solution

    |

  18. The number of distinct values of lamda, for which the vectors -lamda^(...

    Text Solution

    |

  19. Let veca, vecb ,vecc be unit vetors such that veca + vecb + vecc = ve...

    Text Solution

    |

  20. Assertion: vec(PQ)xx(vec(RS)+vec(ST))!=0, Reason : vec(PQ)xxvec(RS)=ve...

    Text Solution

    |