Home
Class 12
MATHS
let veca, vecb and vecc be three unit ve...

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:

A

`(2pi)/(3)`

B

`(5pi)/(6)`

C

`(3pi)/(4)`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -1 : CONCEPT BUILDER|60 Videos

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

Let veca, vecb and vecc be three unit vectors such that vecaxx(vecbxxvecc)=(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 unit vectors such that veca xx (vecb xx vecc) = 1/2 vecb , " then " ( vecb and vecc being non parallel)

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)

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

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

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, 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 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|

DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. let veca, vecb and vecc be three unit vectors such that veca xx (vecb ...

    Text Solution

    |

  2. The points D, E, F divide BC, CA and AB of the triangle ABC in the ra...

    Text Solution

    |

  3. OABCDE is a regular hexagon of side 2 units in the XY-plane in the ...

    Text Solution

    |

  4. The vectors bara (x) = cos xbar i + sin xbar j ,bar b(x)=xbar i + sin ...

    Text Solution

    |

  5. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  6. Let x^2+3y^2=3 be the equation of an ellipse in the x-y plane. Aa n dB...

    Text Solution

    |

  7. Let triangle PQR be a triangle. Let veca = vec(QR) , vecb = vec(RP) a...

    Text Solution

    |

  8. If vec x and vec y are two non-collinear vectors and ABC is a triangle...

    Text Solution

    |

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

    Text Solution

    |

  10. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  11. A non-zero vecto veca is such tha its projections along vectors (hati ...

    Text Solution

    |

  12. veca, vecb ,vec c are three vectors with magnitude |veca| = 4, |vecb|...

    Text Solution

    |

  13. If the two adjacent sides of two rectangles are represented by vect...

    Text Solution

    |

  14. OA, OB, OC are the sides of a rectangular parallelopiped whose diagona...

    Text Solution

    |

  15. If the positive numbers a, b and c are the pth, qth and rth terms of G...

    Text Solution

    |

  16. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  17. Let vecOB = hati + 2hatj + 2hatk " and" vecOA = 4hati + 2hatj + 2hatk ...

    Text Solution

    |

  18. If a1 , a2 and a3 are three numbers satisfying a1^2 + a2^2 +a3^2 = 1 ,...

    Text Solution

    |

  19. Let veca , vecb and vec c be non coplanar unit vectors equally incl...

    Text Solution

    |

  20. Let veca , vecb, vec c be three non coplanar vectors , and let vecp ,...

    Text Solution

    |

  21. Let veca= 2hati+hatj -2hatk and vecb=hati+hatj. If vec c is a vecto...

    Text Solution

    |