Home
Class 12
MATHS
vec(a),vec(b) and vec( c ) are non zero ...

`vec(a),vec(b)` and `vec( c )` are non zero vectors. `(vec(a)xx vec(b))xx vec( c )=(1)/(3)|vec(b)||vec( c )|vec(a)`. If the acute angle between the vectors `vec(b)` and `vec( c )` is `theta` then `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

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-A)|6 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-B)|4 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If vec(a)+vec(b)+vec( c )=0 and |vec(a)|=6,|vec(b)|=5,|vec( c )|=7 then find the angle between the vectors vec(b) and vec( c ) .

(vec(a)xx vec(b))xx vec( c )=vec(a)xx(vec(b)xx vec( c )) . If vec(a)*vec( c ) ……………

vec(a),vec(b) and vec( c ) are unit vectors vec(a)xx(vec(b)xx vec( c ))=(vec(b))/(2) . The vector vec(a) makes the angle ………, …… with vec(b) and vec( c ) respectively.

The unit vectors vec(a),vec(b) and vec( c ) are not coplanar. If vec(a)xx(vec(b)xx vec( c ))=(1)/(sqrt(2))(b+c) then the angle between vec(a) and vec(b) is ………………

If |vec(a)xx vec(b)|=vec(a).vec(b) then find the angle between vec(a) and vec(b) .

Let vec(a),vec(b) and vec( c ) are three unit vectors such that vec(a)xx(vec(b)xx vec( c ))=(sqrt(3))/(2)(vec(b)+vec( c )) . If the vectors vec(b) and vec( c ) are not parallel then the angle between vec(a) and vec(b) is ……….

If |vec(A)+vec(B)|=|vec(A)-vec(B)| , then find the angle between vec(A) and vec(B)

For two vectors vec(a) and vec(b),|vec(a)|=4,|vec(b)|=3 and vec(a).vec(b)=6 find the angle between vec(a) and vec(b) .

vec(a) and vec(b) are any two vectors. Prove that |vec(a)+vec(b)|le|vec(a)|+|vec(b)|

If theta is angle between two vectors vec(a) and vec(b) then vec(a).vec(b)ge 0 only when …….

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If bar(a),bar( c ) and bar(d) are not coplanar vectors and bar(d).(bar...

    Text Solution

    |

  2. If 4bar(a)+5bar(b)+9bar( c )=0 then (bar(a)xx bar(b))xx[(bar(b)xx bar(...

    Text Solution

    |

  3. vec(a),vec(b) and vec( c ) are non zero vectors. (vec(a)xx vec(b))xx v...

    Text Solution

    |

  4. If vec(a) is a unit vector and vec(b)=(2,1,-1) and vec( c )=(1,0,3). T...

    Text Solution

    |

  5. The volume of the parallelepiped with edges -12hati+alpha hatk,3hatj-h...

    Text Solution

    |

  6. bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

    Text Solution

    |

  7. vec(a)|vec(b) and vec(c),|vec(a)|=2,|vec(b)|=3,|vec( c )|=4. The angle...

    Text Solution

    |

  8. (vec(a)xx vec(b))xx vec( c )=vec(a)xx(vec(b)xx vec( c )). If vec(a)*ve...

    Text Solution

    |

  9. vec(u),vec(v) and vec(w) are not co-planar vectors and p and q are rea...

    Text Solution

    |

  10. Let vec(X),vec(Y) and vec(Z) be three vectors such that |vec(X)|=|vec(...

    Text Solution

    |

  11. Let vec(X),vec(Y) and vec(Z) be three vectors such that |vec(X)|=|vec(...

    Text Solution

    |

  12. Let vec(X),vec(Y) and vec(Z) be three vectors such that |vec(X)|=|vec(...

    Text Solution

    |

  13. Measure of the angle between the vector vec(a)=hati-hatj+hatk and vec(...

    Text Solution

    |

  14. If vec(a)=hati+2hatj+hatk and vec(b)=hati-2hatj-3hatk then (vec(a)+vec...

    Text Solution

    |

  15. Find the area of a parallelogram whose adjacent sides are given by the...

    Text Solution

    |

  16. Let |vec(x)|=|vec(y)|=|vec(x)+vec(y)| =1 and if measure of the angle b...

    Text Solution

    |

  17. hati*(hatkxx hatj)+hatj*(hati xx hatk)+hatk*(hatj xx hati)+hati*(hati ...

    Text Solution

    |

  18. For three vectors vec(a),vec(b) and vec( c ),vec(a)+vec(b)+vec( c )=ve...

    Text Solution

    |

  19. A vector vec(a)=alpha hati+2hatj+beta hatk(alpha, beta in R) lies in t...

    Text Solution

    |

  20. Let vec(a),vec(b) and vec( c ) be three unit vectors such that vec(a),...

    Text Solution

    |